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# ...last known prime number and who found it and...

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 Question by stacybob Submitted on 2/24/2004 Related FAQ: sci.math FAQ: Prime Numbers Rating: Rate this question: N/A Worst Weak OK Good Great what is the last known prime number and who found it and when?

 Answer by lucy Submitted on 4/26/2004 Rating: Rate this answer: N/A Worst Weak OK Good Great i think sir issac newton discovered it in 1687 and it is 7777777777777777777

 Answer by Anthony Submitted on 7/17/2004 Rating: Rate this answer: N/A Worst Weak OK Good Great Im sorry Lucy but that number is not a prime number. A prime number is a number that can only be divided by its self and 1 to a get a whole number result. you can obviously see that that number can be divided by 7 to get 1111111111111111111. I am not sure however what the last discovered prime number was but it was discovered within the last 10 years I remember some guy getting a award or something. It would take many years to check a prime number with all the numbers before it, so they using super computing computers to do it, that can make several thousand calculations in minutes. I will do some searching to calabrate who exactly discovered what and when later. look for it ...

 Answer by Anthony Submitted on 7/17/2004 Rating: Rate this answer: N/A Worst Weak OK Good Great Ok... "41st Known Mersenne Prime Found!!On May 15, 2004, Josh Findley discovered the 41st known Mersenne Prime, 224,036,583-1. The number is nearly a million digits larger than our last find and is now the largest known prime number!" information found here: http://www.mersenne.org/prime.htm

 Answer by SmartKid08 Submitted on 11/21/2004 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great I need all the prime numbers up to 8944394323791484 by today and I can't find that number ANYWHERE

 Answer by lady t Submitted on 11/22/2004 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great 600900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000053000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000088888888888888888886666666666666666666666655555555555555555555555555555552222222222222222222222222222222222222222222222222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999991111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

 Answer by sir isac newton Submitted on 2/1/2005 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great the last prime number found was 5, the last time i checked, i think their at 11 or something now....

 Answer by Pixie Submitted on 4/21/2005 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great Actually now its 2 to the power of 25,964,951 minus 1, found February 18, 2005. Aren't computers wonderful?

 Answer by angelica Submitted on 5/18/2006 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great yall are both stupid it is 6666666666666666666666666 angelica discovered it in 1987

 Answer by quentin Submitted on 9/23/2006 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great 101,0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000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 Answer by prime man Submitted on 11/15/2006 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great no anthony i believe lucy is right, the answer is 7777777777777777777

 Answer by mainiasmaster Submitted on 12/15/2006 Rating: Not yet rated Rate this answer: N/A Worst Weak OK Good Great ok iv found the largest known prime 2 to the 32582657th power -1  or 12,457,502,601,536,945,540,085,550, 157,479,950,312,279,598,515,115,184,284,367,047,566,259,111,523,599,739,738, 055,975,960,661,684,593,910,041,988,688,211,130,870,620,428,490,430,485,634, 271,939,241,796,764,631,759,533,893,044,220,073,031,790,211,226,835,904,230, 987,323,393,908,925,421,059,845,352,243,092,506,329,878,772,608,498,068,270, 553,908,906,401,484,562,037,360,119,337,578,023,996,926,617,588,627,497,617, 135,896,061,753,750,302,056,278,435,732,154,701,104,400,628,403,561,909,250, 339,010,411,633,206,329,708,662,149,243,628,068,160,943,329,018,308,665,231, 819,309,128,943,570,590,080,745,016,407,185,363,574,223,080,851,059,829,762, 014,441,934,849,716,768,131,999,464,918,990,892,005,580,980,560,979,908,906, 955,257,056,939,219,929,822,919,869,016,189,618,601,471,468,148,758,807,641, 597,263,110,468,845,550,301,646,997,933,102,140,829,018,259,560,313,725,752, 059,365,243,563,191,635,024,143,109,911,841,999,742,281,691,144,580,085,305, 309,684,210,870,860,588,565,329,166,552,878,890,144,709,207,832,810,968,282, 739,742,462,597,633,106,168,483,125,562,679,210,559,368,185,632,404,863,940, 553,009,188,692,100,383,389,425,125,823,765,285,197,856,414,569,347,789,633, 232,179,870,732,608,332,457,690,526,150,866,893,899,217,588,991,423,415,988, 800,602,045,451,208,127,482,602,252,072,206,283,172,157,197,005,691,452,026, 317,645,309,531,437,569,626,441,815,912,864,164,387,530,109,169,548,843,429, 352,451,915,182,215,283,638,992,628,927,353,380,161,194,532,459,025,680,244, 731,432,979,455,230,590,110,610,332,718,258,547,226,930,751,398,293,287,105, 164,009,039,579,175,831,062,548,151,022,087,793,408,682,835,237,325,734,808, 549,751,225,899,909,963,084,214,416,895,113,379,221,501,107,821,753,311,589, 318,609,539,624,319,643,007,658,459,068,481,768,357,435,183,405,644,684,119, 486,014,909,995,570,730,544,969,336,182,747,432,913,287,156,256,944,632,706, 258,666,428,693,902,442,243,749,347,778,126,767,908,826,490,925,305,815,363, 704,513,281,088,059,888,439,428,509,721,786,842,658,099,075,890,213,410,473, 921,598,666,975,649,841,773,519,885,381,035,237,109,311,769,159,579,086,737, 791,061,262,452,927,703,330,096,819,079,760,376,603,920,683,658,693,908,387, 954,673,649,944,134,787,433,477,636,912,201,905,130,477,434,082,407,774,322, 607,328,175,947,747,454,827,461,534,233,410,589,595,277,187,613,430,793,078, 890,393,726,029,016,395,330,818,896,928,751,503,924,724,810,763,791,756,854, 452,170,266,161,716,672,841,384,480,919,707,087,098,606,203,832,657,309,077, 886,782,405,416,791,125,282,717,883,894,359,579,204,838,577,433,671,309,882, 287,258,450,726,985,638,616,541,310,808,667,442,994,199,087,180,886,464,278, 241,819,273,188,088,137,404,308,256,078,992,630,774,727,754,916,177,810,008, 883,353,584,527,382,378,214,733,355,140,611,469,321,427,355,365,015,781,088, 325,687,189,846,184,486,025,980,844,399,491,136,377,476,946,486,664,129,145, 297,622,837,775,954,831,002,708,394,034,695,004,124,052,576,043,773,697,949, 437,182,855,980,641,288,959,487,857,102,251,188,409,517,506,635,003,740,933, 245,123,227,436,028,403,364,917,588,235,537,118,929,321,996,398,630,723,622, 726,592,330,765,315,923,842,833,082,302,918,680,456,109,828,287,629,136,940, 050,697,470,975,173,203,943,527,517,595,577,904,994,372,669,487,684,370,995, 772,634,350,550,922,018,143,405,137,943,907,554,887,166,915,036,260,911,896, 230,596,180,278,836,082,169,071,642,605,166,470,891,761,163,320,436,365,621, 383,914,798,987,011,557,377,808,735,480,173,390,365,359,355,767,608,346,630, 255,175,195,999,728,554,858,396,197,751,413,907,584,973,202,810,754,865,006, 002,406,008,625,861,426,598,112,947,104,285,653,805,148,349,217,666,844,339, 657,224,889,039,133,220,115,779,215,661,935,390,688,632,295,023,656,652,627, 045,118,052,424,623,727,647,795,160,283,330,529,116,649,143,491,974,688,183, 831,019,836,985,162,688,618,231,400,942,666,546,099,234,921,901,054,309,598, 375,392,327,083,898,758,063,028,894,928,051,535,335,469,332,434,368,293,052, 036,984,851,700,122,143,813,414,041,051,467,976,900,991,609,647,545,866,308, 965,239,423,310,888,672,387,454,595,251,072,848,666,295,924,442,013,629,538, 787,441,429,624,739,688,308,955,483,990,193,121,857,149,793,177,121,053,971, 821,418,789,353,812,810,463,868,032,335,289,802,009,849,571,782,965,755,219, 513,436,890,293,595,765,947,183,272,735,342,702,116,934,753,261,602,551,398, 679,736,536,289,254,219,800,686,453,300,493,485,220,190,535,377,918,583,390, 031,714,192,507,201,884,723,341,891,236,447,031,073,207,578,535,119,404,423, 156,713,551,459,411,413,977,503,612,386,652,091,731,722,082,704,846,990,286, 658,693,636,097,154,202,649,780,836,123,253,854,735,797,593,872,298,080,131, 990,995,133,085,434,390,547,594,458,749,768,826,275,009,849,286,215,985,603, 173,013,782,178,957,799,115,165,859,340,308,933,752,316,594,677,076,246,516, 918,922,934,279,434,803,696,570,598,093,805,285,243,818,010,517,117,654,376, 644,057,617,005,833,834,626,276,388,965,375,018,649,304,589,912,703,594,753, 642,695,941,552,269,997,000,933,985,557,962,278,809,412,763,450,423,994,675, 196,569,811,471,709,250,083,676,555,873,390,472,052,589,318,145,256,568,529, 011,950,866,327,009,661,434,068,606,119,022,671,362,403,727,747,694,929,690, 139,581,650,107,421,902,685,235,935,358,133,862,151,466,234,824,597,223,451, 559,983,037,428,152,583,437,639,927,977,000,505,325,487,150,698,905,135,512, 884,064,786,902,464,895,367,472,530,917,691,186,619,983,442,495,885,679,936, 584,276,508,340,718,297,953,553,669,758,875,971,048,232,857,377,301,134,027, 896,886,232,565,544,005,177,770,381,600,500,708,362,486,535,487,947,459,757, 980,065,858,300,557,814,288,802,464,611,169,690,239,175,071,877,431,281,949, 757,621,798,425,339,681,195,772,912,753,800,510,144,010,121,008,320,695,078, 601,599,899,767,631,217,644,453,515,404,823,624,421,452,869,571,253,023,636, 346,108,942,386,155,478,576,215,082,723,880,453,331,399,846,600,006,465,234, 779,452,294,031,608,541,559,265,249,772,469,350,641,995,788,205,638,144,162, 196,069,323,673,286,397,889,321,434,140,769,840,462,145,920,761,553,760,208, 383,369,903,487,483,460,454,729,983,530,791,117,436,121,949,476,904,447,042, 792,208,946,701,182,815,566,822,330,975,342,972,137,661,567,621,441,538,122, 264,573,199,540,051,015,066,449,642,682,985,076,802,493,208,958,803,112,954, 135,959,787,250,579,778,557,497,010,735,882,540,938,416,800,323,144,895,893, 077,964,362,384,428,481,781,712,512,783,879,954,896,073,738,508,780,562,560, 580,122,500,980,786,811,485,638,609,058,839,246,928,332,720,876,294,725,798, 384,786,769,062,079,672,721,654,531,825,293,742,651,391,002,077,327,179,673, 899,587,467,024,273,904,492,425,876,056,757,325,070,800,049,354,981,084,240, 731,788,753,134,832,701,692,767,505,444,057,012,454,557,299,584,789,939,067, 711,642,666,933,543,937,299,775,039,245,319,624,047,591,095,782,973,321,183, 630,538,586,955,835,638,726,688,688,638,885,145,141,278,924,451,255,694,932, 638,398,086,397,679,483,133,357,712,757,160,093,063,300,850,847,493,556,514, 980,029,941,190,218,217,167,945,010,463,052,457,446,436,355,759,200,352,897, 290,942,621,650,806,999,464,731,549,134,378,658,572,174,645,520,568,682,721, 553,756,869,051,845,701,867,558,918,228,413,215,718,721,924,379,748,705,136, 450,462,493,585,886,484,866,533,052,878,932,877,673,593,758,756,090,459,046, 726,250,506,181,257,971,095,345,360,859,433,451,894,204,829,917,568,934,053, 555,669,555,273,028,716,206,459,618,671,486,113,486,789,045,724,586,711,609, 588,679,831,889,715,927,247,410,204,993,068,305,662,049,996,803,143,014,497, 342,316,944,372,709,590,227,316,587,429,590,404,954,763,574,640,372,224,191, 374,779,189,225,358,993,460,000,915,397,226,598,347,220,225,026,434,218,423, 613,755,442,439,952,239,455,967,646,351,659,872,303,498,029,969,813,194,038, 293,789,797,035,047,951,259,021,850,620,027,760,636,737,890,447,492,788,997, 039,064,161,856,727,678,299,742,422,918,432,519,933,423,939,761,201,820,869, 577,595,245,657,735,102,386,728,783,352,354,929,957,762,743,726,248,175,291, 871,701,942,546,136,256,139,697,950,198,513,522,135,160,070,449,101,411,424, 854,840,735,926,411,315,873,197,400,598,910,686,805,831,334,867,253,265,747, 946,445,688,328,672,459,332,788,004,327,876,760,534,480,600,548,808,947,654, 673,947,513,096,564,435,061,011,623,233,114,451,849,757,279,630,335,744,330, 934,652,079,230,085,940,747,462,685,402,199,542,082,354,329,440,682,945,100, 476,258,901,480,924,566,593,803,988,623,449,858,866,003,979,167,962,481,462, 300,304,857,153,811,127,252,471,853,229,787,142,246,912,260,856,521,762,084, 539,595,931,251,777,784,362,472,445,626,888,328,591,982,379,758,964,085,649, 278,815,378,523,920,720,310,439,883,092,634,939,729,097,425,056,770,195,249, 609,025,059,347,202,347,716,707,884,952,872,002,402,290,398,775,857,066,074, 982,366,496,232,057,028,446,042,845,998,076,223,794,350,570,917,963,523,755, 734,769,932,701,575,365,705,034,989,534,841,309,819,029,823,931,030,443,778, 721,640,456,615,470,612,545,774,140,455,318,256,613,714,745,511,882,351,502, 064,097,401,292,274,583,864,962,685,541,336,921,645,272,975,947,880,176,947, 816,167,500,118,760,998,570,681,412,985,532,487,769,171,390,688,867,642,525, 451,050,081,471,933,117,369,308,953,055,254,399,658,090,290,938,157,296,826, 264,003,222,958,949,806,036,072,580,070,156,405,664,119,580,617,076,441,483, 559,567,549,811,216,032,174,323,116,048,126,394,391,684,129,432,399,235,060, 539,878,528,709,871,170,348,935,633,101,585,929,946,747,760,040,339,435,348, 125,787,423,962,508,288,075,782,749,512,553,826,061,353,122,460,314,959,740, 459,341,900,486,915,980,807,467,391,374,262,938,053,584,919,146,107,448,173, 299,191,120,174,993,131,087,713,578,637,744,018,643,405,884,246,282,657,527, 798,096,061,203,934,919,033,706,012,591,901,885,869,076,430,245,572,969,916, 176,361,798,669,790,884,702,263,118,894,942,420,478,680,215,126,350,751,108, 398,850,776,777,509,150,229,191,936,410,209,117,820,924,517,203,680,986,581, 874,138,528,780,246,539,848,938,090,065,248,600,750,699,119,480,409,030,915, 655,737,431,529,294,102,323,315,229,186,162,891,616,006,773,590,643,431,662, 555,073,797,068,508,133,167,185,059,402,909,048,871,146,879,109,993,166,328, 113,146,573,323,127,493,206,446,178,628,753,510,198,896,266,028,770,093,685, 527,485,692,530,196,439,383,819,597,293,885,976,367,603,189,872,361,092,882, 586,060,900,907,488,359,072,245,847,454,697,191,194,075,042,150,093,006,748, 779,324,413,971,216,502,833,163,467,547,980,596,555,332,977,206,601,483,673, 722,592,616,310,912,640,655,753,332,258,252,592,728,226,628,440,522,847,322, 042,829,531,697,896,510,047,007,979,829,818,096,771,068,086,453,765,684,261, 927,341,704,373,141,215,246,807,348,856,256,343,280,779,811,617,057,760,309, 143,208,852,192,988,593,241,466,150,517,380,178,524,342,348,148,555,136,469, 308,753,493,056,966,384,063,941,691,231,769,725,270,576,554,076,755,895,973, 703,961,635,885,701,596,149,351,636,476,673,608,415,086,450,458,411,199,811, 023,751,807,234,325,079,728,655,220,043,435,773,777,325,147,450,256,180,256, 651,306,689,519,177,880,611,492,627,210,215,471,062,023,042,220,434,964,142, 565,528,366,853,617,118,742,179,342,400,391,275,204,665,970,557,067,062,764, 968,337,709,171,248,610,218,815,091,477,134,026,462,008,748,665,671,115,090, 215,779,392,436,642,482,463,058,253,065,973,990,934,319,217,663,718,570,362, 498,173,128,703,361,503,234,835,748,255,774,114,018,483,690,936,472,250,275, 212,046,879,514,514,208,111,764,651,448,102,633,691,120,130,387,958,748,474, 749,500,842,890,241,210,236,445,700,150,063,022,500,999,647,612,939,616,240, 534,019,934,802,486,463,885,808,704,823,694,693,209,373,660,752,341,110,134, 974,388,576,544,177,444,976,654,701,984,068,929,440,040,464,991,248,795,207, 595,822,315,862,555,003,245,641,401,736,119,403,043,778,788,969,926,706,607, 891,830,025,074,924,354,170,701,393,262,683,836,721,485,434,172,508,270,464, 866,709,187,399,356,557,496,763,027,330,793,366,218,615,807,760,151,290,163, 305,064,675,455,985,890,941,721,808,904,028,577,003,260,605,725,432,726,083, 523,326,446,861,547,983,102,265,535,169,027,244,369,565,799,267,961,864,318, 483,777,455,953,742,311,131,366,308,301,490,820,756,291,450,065,989,198,323, 439,891,603,426,645,904,736,274,724,421,299,190,889,119,922,877,668,979,388, 792,158,149,874,151,247,275,851,714,786,083,809,853,826,826,831,489,206,739, 539,926,033,532,611,554,225,650,255,667,834,740,439,059,751,011,644,958,830, 738,462,155,601,386,010,065,217,056,479,150,758,720,234,134,978,274,362,383, 771,843,727,576,080,870,431,453,608,666,354,003,256,573,539,273,378,797,178, 382,563,161,755,478,159,482,411,108,579,626,809,535,020,783,764,877,327,706, 667,495,522,373,951,256,531,987,953,812,443,660,138,685,362,496,368,664,350, 948,009,109,238,866,921,520,137,432,785,192,286,070,509,602,510,114,669,967, 494,954,979,172,564,609,276,373,825,546,735,570,321,765,424,340,993,920,675, 690,009,818,004,329,880,357,449,981,586,399,938,402,065,375,799,129,653,505, 333,849,798,201,244,945,272,107,717,170,693,231,615,446,486,801,836,788,761, 644,993,248,580,811,113,765,098,613,083,207,801,159,712,149,138,506,158,778, 258,612,815,746,666,036,899,326,748,848,979,993,243,587,678,162,180,749,345, 657,245,001,505,469,826,493,513,012,799,153,794,151,135,944,941,570,470,771, 286,467,403,375,440,686,416,187,393,122,434,252,691,895,718,815,490,741,555, 862,184,378,189,677,443,963,723,527,376,308,951,474,057,237,184,322,183,369, 165,232,850,257,470,283,063,804,577,996,646,479,903,417,941,724,974,087,060, 286,782,642,772,029,175,499,094,476,531,695,961,784,677,427,895,578,584,465, 609,855,828,408,219,786,349,174,924,631,787,584,449,619,152,516,955,081,929, 662,392,783,561,019,315,422,875,125,181,870,890,792,592,818,397,225,859,768, 575,703,682,594,716,432,004,259,377,107,386,165,505,686,841,466,743,291,936, 643,520,478,557,468,643,675,836,835,955,071,196,318,934,186,685,460,775,969, 721,888,889,793,253,246,191,104,765,895,487,584,329,756,202,764,246,722,614, 801,863,001,065,909,669,297,168,485,075,311,733,413,692,162,061,581,346,080, 978,035,004,184,069,245,647,333,884,757,180,990,118,609,384,652,053,688,795, 818,905,702,518,924,987,741,750,958,767,269,383,671,380,530,547,865,943,998, 543,017,400,548,342,549,007,273,847,713,638,033,965,486,853,597,920,198,762, 591,945,994,985,207,975,692,242,905,729,281,460,376,332,233,436,352,169,758, 297,447,669,504,548,964,692,441,171,436,733,453,659,605,464,862,460,756,831, 785,689,077,143,920,305,011,243,084,358,656,856,060,918,029,732,195,357,580, 850,439,335,718,342,999,404,535,123,813,187,977,117,391,528,687,777,426,568, 119,415,794,788,730,749,880,581,397,682,701,000,117,268,548,129,064,233,027, 513,504,524,482,112,587,890,747,554,905,857,549,448,586,915,503,070,019,198, 120,321,440,019,137,320,450,290,849,997,716,840,476,954,630,241,414,372,285, 718,688,647,877,499,343,888,150,270,180,326,291,581,538,448,371,977,506,350, 828,455,943,921,477,133,037,093,241,393,128,173,139,536,942,932,582,239,180, 333,116,518,108,233,848,501,825,806,278,408,314,676,362,657,778,463,585,999, 524,671,631,736,988,424,950,734,397,927,957,469,038,864,323,401,530,279,754, 195,282,347,729,157,451,418,277,800,106,043,227,453,129,918,137,542,082,168, 989,969,895,425,591,043,967,926,504,580,007,677,976,788,615,431,772,418,743, 612,343,068,367,093,670,802,654,275,903,090,138,707,694,345,201,582,554,476, 810,727,040,401,036,470,294,160,960,368,620,225,304,036,582,586,599,258,050, 074,455,218,525,410,247,807,397,996,526,586,262,793,528,182,303,614,026,639, 997,751,403,932,022,624,652,939,453,243,164,965,366,328,097,821,687,861,818, 261,538,173,155,080,161,243,882,977,873,338,828,856,980,805,401,637,714,546, 631,553,760,926,788,233,994,209,710,348,647,044,100,196,600,019,184,643,145, 057,784,929,876,724,387,031,810,462,831,182,639,259,314,010,422,022,640,346, 482,454,024,824,449,559,359,110,364,496,373,416,649,587,037,438,573,945,261, 769,578,929,895,446,401,461,133,874,437,459,900,530,623,259,485,749,020,944, 790,262,555,389,600,824,222,253,996,182,001,830,932,258,195,582,238,176,120, 741,246,670,694,038,284,988,207,000,465,909,751,338,695,415,003,922,107,955, 964,501,235,825,048,456,580,257,790,567,106,691,647,500,318,198,652,856,504, 701,649,854,033,547,838,858,241,899,034,442,921,089,080,794,653,071,769,348, 316,538,350,454,533,815,358,940,258,751,012,093,771,351,762,141,831,918,085, 275,171,828,955,209,730,682,489,646,338,034,365,462,319,263,946,823,917,017, 918,492,376,657,916,834,865,565,567,700,707,983,430,251,094,304,609,251,406, 300,305,498,987,095,094,298,015,745,571,813,978,416,784,383,772,367,177,394, 707,034,567,917,556,889,044,571,863,733,552,551,012,655,843,087,978,034,449, 212,924,233,217,892,265,284,300,799,608,309,191,239,540,728,316,722,202,684, 044,901,147,309,293,747,343,355,639,070,176,194,977,372,072,409,618,493,567, 799,195,933,700,890,634,712,539,213,296,714,833,394,335,049,635,474,052,596, 011,161,849,409,462,531,123,405,307,905,770,344,828,711,358,607,535,390,337, 317,420,690,773,050,422,240,796,972,296,890,151,089,784,849,781,152,066,590, 502,424,435,034,016,081,228,045,576,532,827,214,777,318,653,051,343,791,204, 919,578,482,136,350,836,750,745,885,840,741,983,913,767,134,183,515,710,666, 113,097,497,298,585,451,110,691,619,569,859,777,595,790,911,518,076,377,138, 627,921,217,858,238,508,763,289,975,341,481,362,105,101,400,827,953,319,453, 293,277,879,289,314,292,424,699,949,887,768,100,433,955,424,697,776,596,026, 800,682,122,858,762,894,888,952,280,912,331,378,321,419,892,151,091,025,027, 258,674,683,811,867,562,447,284,794,554,958,788,606,440,427,983,609,297,614, 767,027,682,832,001,389,166,354,884,285,992,848,723,528,493,502,368,050,620, 890,640,206,434,691,897,552,417,722,298,482,011,349,743,196,750,622,838,388, 228,262,297,116,708,895,347,380,716,623,832,025,415,749,614,472,006,082,085, 345,612,900,284,810,011,992,467,102,120,893,544,919,904,728,191,612,206,344, 758,707,309,199,371,124,232,909,385,455,216,429,965,898,047,899,480,779,093, 905,570,890,312,105,415,703,296,092,837,089,696,341,295,140,408,982,548,603, 840,692,029,750,331,801,881,295,354,074,074,684,965,727,999,436,597,373,159, 226,717,322,513,149,700,207,933,945,742,569,416,683,767,618,569,510,022,716, 596,008,182,767,556,163,488,712,488,802,648,847,996,082,133,166,702,332,873, 216,271,594,118,448,237,227,958,907,959,975,981,055,092,392,945,948,559,309, 736,366,777,758,862,724,270,118,147,170,002,960,589,954,786,932,818,995,374, 110,349,937,062,823,828,152,478,447,070,223,645,279,676,098,085,785,384,739, 981,036,949,428,901,009,722,641,119,204,258,776,229,027,296,266,671,394,846, 746,711,536,634,316,253,698,083,459,957,007,010,721,608,436,952,967,658,811, 092,866,372,917,987,816,240,712,822,697,572,264,957,122,569,740,460,717,336, 531,834,009,524,723,848,024,461,605,848,659,921,855,571,745,359,426,308,667, 127,117,954,101,893,175,746,671,502,452,851,657,543,211,658,647,868,008,798, 955,248,451,135,694,443,724,949,825,106,957,836,465,203,365,913,734,479,907, 587,105,542,995,982,895,452,640,135,380,461,044,297,736,553,066,437,137,038, 965,088,642,671,571,444,102,671,604,868,196,564,546,418,594,612,103,758,998, 807,754,357,426,417,274,609,879,445,235,618,326,622,704,903,167,194,666,506, 320,952,262,232,122,257,947,124,476,403,340,283,015,396,588,379,968,390,999, 179,196,273,450,631,789,608,006,865,438,762,181,875,446,610,598,947,795,622, 941,697,314,809,448,059,092,358,391,654,005,059,739,336,413,593,774,423,182, 648,102,634,068,553,983,921,719,514,166,039,158,556,622,153,436,856,233,827, 008,179,245,519,369,315,319,473,321,871,932,348,827,555,493,133,801,280,771, 905,160,172,074,776,362,220,391,892,918,825,164,824,508,500,816,420,171,345, 272,981,817,653,068,486,555,188,242,392,252,304,595,105,426,321,521,817,371, 737,830,023,569,379,294,112,895,057,751,390,984,005,056,162,229,236,150,406, 615,235,319,442,973,143,872,255,536,032,791,697,276,031,059,880,455,071,095, 776,888,997,004,839,732,946,058,078,527,991,773,194,940,699,562,674,897,118, 297,549,331,687,922,363,737,208,730,715,418,161,240,847,482,528,768,053,359, 859,890,345,178,371,845,170,044,150,307,411,398,721,408,960,193,919,538,774, 169,955,486,015,674,538,426,166,448,885,577,636,756,310,926,101,606,160,404, 194,408,149,061,569,444,141,062,101,621,936,029,678,326,251,484,802,838,853, 403,922,853,236,586,760,312,815,456,172,283,622,163,443,646,771,063,381,548, 523,021,298,104,195,952,042,455,679,532,219,764,411,350,760,489,986,066,850, 124,587,114,971,383,232,870,482,823,596,267,979,570,801,270,385,988,119,704, 602,785,071,646,419,295,295,276,796,644,789,652,038,924,042,131,631,201,724, 414,606,695,320,377,555,946,943,829,145,352,028,972,913,572,863,076,965,877, 347,770,726,376,505,953,614,337,202,077,473,521,686,059,322,413,774,938,138, 928,502,921,364,820,815,949,327,945,638,219,790,513,120,605,095,935,465,140, 329,461,241,909,617,942,221,153,757,384,225,738,381,083,577,041,303,115,996, 666,049,769,952,890,180,797,240,963,455,086,578,452,581,326,181,165,961,513, 041,712,909,161,562,022,598,911,070,385,843,519,012,188,439,811,301,685,926, 822,782,340,844,199,937,618,314,293,416,428,823,903,634,137,510,618,570,849, 539,902,127,921,196,803,271,847,677,397,430,041,272,495,845,599,899,563,867, 878,845,631,466,763,000,564,916,566,181,522,164,955,027,218,965,161,683,902, 009,401,011,796,746,839,715,718,911,482,307,071,492,174,683,245,078,782,974, 706,585,758,811,896,313,584,165,516,766,555,540,370,145,770,509,118,700,078, 248,512,509,878,451,219,632,435,843,089,316,921,527,536,957,549,825,046,188, 201,116,927,494,514,560,922,558,775,014,179,963,838,463,610,475,965,423,252, 983,553,961,178,651,783,214,524,948,673,340,804,128,015,380,208,274,380,215, 212,927,578,095,844,918,259,261,774,498,612,544,558,582,011,477,731,489,411, 837,580,925,972,679,108,451,505,690,014,968,426,149,290,695,691,353,546,802, 209,784,083,304,012,884,240,125,831,905,366,426,234,687,221,344,333,117,182, 356,558,601,602,660,095,188,643,115,182,950,718,633,964,481,667,750,847,449, 441,601,415,786,178,220,847,689,946,520,420,988,962,636,106,924,095,918,797, 982,529,276,280,962,972,965,832,211,066,035,198,677,771,173,960,088,304,703, 091,247,365,396,550,357,013,343,615,328,110,851,326,023,679,743,842,784,344, 494,081,333,671,477,513,944,199,906,303,200,157,351,563,248,321,274,704,364, 874,197,144,953,133,906,535,183,793,098,592,387,343,851,253,645,342,528,315, 991,454,764,103,140,415,087,739,962,763,517,046,363,418,882,883,301,253,418, 420,508,480,086,071,861,641,260,259,834,432,990,359,392,720,427,546,927,394, 822,772,356,662,703,494,716,348,607,365,835,742,188,323,153,340,798,870,741, 596,614,299,652,074,655,138,782,634,161,286,784,929,409,852,292,199,084,384, 609,568,612,319,505,547,942,970,360,881,145,917,154,942,282,601,272,957,194, 264,970,379,212,619,641,445,396,695,083,016,807,793,299,885,009,443,729,176, 649,705,243,208,887,245,074,139,265,106,810,631,038,926,467,390,589,217,036, 948,212,381,175,259,055,543,004,059,673,923,764,064,419,430,804,815,083,124, 848,056,009,130,406,435,293,925,380,408,196,167,566,736,852,489,101,603,049, 461,403,153,551,849,206,704,651,451,466,049,618,281,577,298,498,018,525,565, 285,601,613,944,841,796,993,010,158,710,678,494,714,424,698,824,329,471,176, 973,733,207,607,706,824,917,835,001,658,547,495,488,786,477,028,120,283,835, 298,920,424,607,765,482,638,324,986,729,444,002,623,914,513,424,935,351,420, 098,491,294,992,858,035,243,664,785,820,403,384,994,436,900,235,514,788,926, 645,991,394,050,504,291,503,829,069,599,630,463,295,060,484,308,917,904,877, 068,277,645,519,894,029,185,337,778,335,311,970,770,726,615,474,117,407,554, 928,439,677,298,083,043,423,773,634,297,828,241,031,279,259,465,355,679,731, 211,045,948,785,780,157,274,859,604,744,300,215,547,957,476,682,544,263,507, 552,776,973,239,914,490,242,892,789,619,878,859,937,621,650,705,919,354,331, 612,872,676,450,400,827,359,530,079,761,478,764,461,208,430,361,598,689,168, 296,945,973,334,426,899,933,211,284,612,727,140,471,724,928,166,676,357,315, 484,123,929,837,075,765,070,868,332,039,365,814,560,162,986,749,892,073,286, 886,347,186,103,932,113,369,654,157,969,097,385,165,332,918,712,882,533,763, 400,374,859,445,957,508,828,714,345,110,543,967,038,486,472,714,999,942,326, 125,004,862,532,229,261,427,612,062,081,980,286,661,396,753,428,466,414,675, 896,518,743,844,434,563,696,786,327,149,033,086,070,427,924,265,226,191,311, 471,158,843,109,226,514,920,053,503,938,056,441,049,999,578,168,766,060,888, 542,798,989,049,729,314,182,072,433,795,091,945,007,999,057,383,105,329,756, 874,980,191,515,558,176,029,860,879,306,273,081,226,200,943,880,221,774,907, 290,333,631,199,791,240,966,400,866,726,186,743,567,406,132,564,316,897,241, 276,897,060,430,777,499,555,057,201,286,169,491,912,183,881,109,054,170,993, 144,251,372,217,496,199,895,134,788,005,732,493,092,324,294,094,152,124,929, 665,014,672,542,891,601,611,488,279,865,869,490,790,865,955,875,541,062,096, 107,691,802,146,227,415,768,211,934,087,577,271,741,121,177,955,136,310,407, 824,142,927,453,057,489,791,095,737,019,406,641,880,242,956,525,799,415,283, 282,418,090,530,486,192,842,723,193,684,615,040,976,842,810,413,064,265,022, 671,980,208,390,900,276,277,578,520,746,719,220,139,361,536,866,159,633,432, 833,913,527,422,358,892,178,110,138,726,777,654,094,984,082,534,463,022,961, 011,156,859,792,656,497,457,840,526,003,115,693,104,287,458,806,149,204,595, 561,845,925,644,922,304,882,499,902,954,723,071,878,544,310,113,819,584,800, 419,252,553,422,861,872,784,092,813,830,595,941,616,638,278,533,825,810,597, 571,471,172,312,825,048,087,031,626,116,908,613,699,924,103,647,264,317,698, 160,848,453,965,412,740,991,839,791,943,381,010,417,102,585,234,106,771,013, 797,356,910,115,278,624,496,541,064,170,431,438,836,389,347,606,442,956,651, 331,909,354,778,538,519,779,900,048,138,484,713,857,216,637,823,487,218,470, 507,619,438,863,940,005,583,051,916,544,885,046,647,357,818,079,447,042,852, 503,545,516,594,211,139,932,634,869,678,726,380,416,776,639,509,847,674,736, 574,295,054,658,848,632,269,687,552,754,400,754,416,514,719,690,145,294,345, 511,865,682,231,180,809,635,205,849,741,212,224,614,999,972,404,987,172,715, 794,438,609,519,699,514,086,474,134,188,953,180,438,083,164,792,021,742,385, 915,169,709,852,724,501,370,207,869,996,810,508,418,346,256,262,364,824,564, 482,569,389,436,427,471,813,489,484,075,416,881,240,613,202,820,150,979,170, 053,856,454,525,541,207,993,561,509,363,963,638,328,192,778,758,756,441,449, 854,848,721,850,703,893,432,344,951,223,896,686,111,837,628,637,433,417,335, 510,706,053,187,566,819,687,604,634,286,067,977,021,118,175,298,171,241,341, 097,487,594,600,395,192,741,556,381,852,381,260,975,181,995,625,517,397,040, 432,408,922,221,205,113,260,423,683,161,521,096,771,776,043,523,958,972,816, 340,396,357,935,614,586,346,602,157,188,758,230,452,060,726,567,880,539,425, 453,992,131,325,523,737,320,328,405,845,658,851,868,895,982,679,717,232,381, 231,251,142,750,620,711,154,725,407,653,599,454,505,858,086,073,955,002,951, 125,360,255,445,921,239,285,811,858,113,939,839,058,978,856,283,259,630,705, 952,174,899,987,843,352,562,245,905,779,649,371,352,121,250,567,581,580,360, 049,346,832,911,792,453,403,989,752,969,741,165,309,781,633,553,493,034,530, 585,687,768,969,357,679,076,183,530,460,787,264,411,970,753,430,553,710,412, 019,881,225,444,288,101,387,310,480,566,996,960,159,251,864,717,784,714,075, 642,204,860,114,257,662,320,964,804,023,465,881,548,516,063,447,520,443,030, 532,615,030,242,620,530,262,942,149,590,574,653,313,565,941,840,688,377,573, 216,631,730,140,918,189,282,474,326,281,323,547,883,861,546,477,987,824,070, 727,624,098,967,271,077,370,021,377,477,911,736,659,153,598,575,738,540,438, 234,632,491,452,311,311,479,773,685,932,116,421,047,321,034,744,056,107,991, 804,548,439,463,653,715,930,752,596,165,746,135,388,899,671,841,611,351,799, 629,241,697,087,391,915,996,021,171,141,393,801,548,660,198,288,003,103,499, 177,177,551,753,824,786,785,115,684,524,926,904,751,102,148,131,602,696,352, 700,238,360,894,394,052,882,530,428,523,438,409,694,910,136,060,377,698,834, 561,584,187,695,684,412,563,693,397,977,554,461,686,245,725,729,190,684,500, 177,215,571,505,818,267,581,002,970,482,280,638,805,478,957,216,578,865,832, 406,727,012,275,092,232,050,324,224,524,254,947,249,237,106,272,412,944,683, 523,902,908,701,661,170,683,509,406,202,734,593,115,547,256,068,022,328,042, 214,763,804,603,163,150,640,010,987,399,968,445,018,058,436,146,228,964,031, 206,796,805,707,161,202,703,445,075,763,916,864,854,045,937,912,270,449,927, 359,072,055,229,986,703,546,593,855,106,841,911,909,793,129,095,502,729,685, 014,812,138,253,962,715,723,001,628,396,476,731,956,614,121,221,818,961,053, 606,028,892,720,250,058,770,949,999,853,335,988,653,793,750,729,366,820,126, 476,264,394,987,626,609,477,220,845,540,800,195,281,651,136,133,825,964,359, 603,271,665,490,487,327,394,053,687,120,466,370,636,485,134,468,074,573,792, 546,068,628,826,577,257,607,044,158,072,423,088,024,338,915,359,540,501,853, 118,860,847,506,299,547,214,362,964,358,776,771,137,529,272,567,957,636,324, 309,139,016,608,001,067,574,079,680,076,361,387,786,504,819,008,149,610,861, 665,095,452,115,089,637,653,809,892,811,400,548,093,109,704,646,445,383,825, 726,993,565,584,504,461,517,951,984,638,576,379,934,773,502,674,509,186,382, 692,514,491,981,212,309,453,532,389,252,842,710,234,022,611,143,629,210,544, 352,961,414,111,210,326,328,114,141,243,558,646,398,657,305,432,602,454,701, 095,368,171,243,578,707,150,076,237,275,993,923,658,317,416,436,576,158,785, 448,045,433,197,048,994,883,628,816,773,675,252,375,459,532,725,568,991,345, 937,247,247,325,623,085,839,081,871,731,327,224,467,478,466,121,306,313,888, 432,669,051,675,917,464,164,403,335,493,532,779,337,430,854,271,911,848,245, 509,262,004,905,709,745,276,774,990,253,203,796,885,891,886,730,796,371,273, 448,086,013,156,313,268,169,172,421,517,008,583,272,483,148,380,813,240,387, 200,739,291,915,027,737,241,349,028,996,257,845,346,332,301,334,686,114,965, 734,472,703,536,736,749,036,499,754,079,066,288,310,616,264,290,846,923,992, 730,633,767,157,165,528,192,586,407,567,250,349,684,440,984,226,909,603,979, 372,243,736,908,282,925,046,810,300,252,714,062,572,817,440,315,023,787,830, 085,229,442,989,484,495,736,664,421,686,066,759,841,901,894,439,509,444,133, 278,805,279,448,913,587,843,534,273,283,175,577,740,084,532,316,536,589,655, 933,800,424,041,806,570,598,050,061,870,894,098,098,910,022,234,502,712,178, 172,504,983,919,773,937,921,203,719,705,169,228,673,274,335,472,788,238,478, 574,411,572,589,510,137,127,452,030,580,579,730,642,474,710,065,908,240,281, 200,685,041,827,056,411,954,337,444,908,081,694,397,023,499,496,826,726,604, 958,937,322,582,512,072,612,621,443,114,535,641,869,584,273,577,446,330,457, 465,821,333,212,445,737,104,635,692,000,092,659,011,752,880,154,053,967,871

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