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Amateur mathematician discovers new prime number 41 million digits long
The number has exactly 41,303,007 digits. It is approximately: 8,816,943,275,038,332,655,539,391,003,781,173,589,712,073,545,090,660,410,671,563,764,124,226,306,947,568,414,417,259,903,477,232,831,088,375,097,399,597,768,741,641,186,106,798,957,685,533,486,472,399,520,506,079,844,922,872,135,806,124,407,652,553,947,877,500,043,953,475,017,015,497,457,628,341,029,584,810,238,352,553,521,922,001,801,984,985,521,368,228,935,442,123,373,194,104,843,685,193,736,508,609,493,602,871,131,747,101,857,143,206,470,819,983,730,614,862,878,257,124,301,338,862,520,617,391,027,430,764,695,418,172,448,981,500,830,593,725,972,817,584,347,196,930,450,501,601,062,420,511,524,139,611,706,375,859,581,853,972,235,578,132,879,151,283,280,188,390,576,132,099,383,890,565,829,665,055,240,913,834,318,355,222,765,774,891,177,966,975,003,109,329,409,338,674,423,161,934,835,120,255,151,308,427,150,097,668,052,460,299,803,048,486,048,403,202,837,881,227,404,218,937,078,614,698,622,508,383,318,025,612,408,295,292,909,170,788,443,657,204,950,258,082,123,770,056,006,503,434,172,356,329,958,086,453,317,888,189,489,081,714,858,172,517,220,127,620,179,692,376,318,258,610,620,732,850,005,640,787,647,953,566,591,967,819,045,075,816,046,329,387,883,686,479,641,978,056,945,882,551,643,497,172,451,966,966,844,890,200,336,467,664,985,643,635,857,298,544,158,284,931,783,349,632,302,774,755,550,728,620,334,625,482,940,875,281,953,177,151,254,853,423,625,353,298,357,223,118,900,219,491,658,652,158,320,758,693,278,186,277,092,368,146,614,707,839,392,581,005,116,978,580,957,902,469,958,189,433,486,031,521,619,285,611,020,765,142,396,676,652,134,030,985,107,661,748,069,858,205,949,482,643,728,596,113,195,156,597,488,375,426,738,642,144,176,131,987,821,505,057,297,453,829,068,899,339,992,814,613,745,110,061,647,277,061,531,749,012,344,305,325,256,897,504,139,772,138,844,472,824,099,347,938,310,213,893,947,491,320,785,273,201,742,322,707,842,270,135,669,716,946,670,370,808,361,807,948,132,960,090,035,352,084,254,224,417,778,036,744,474,543,565,074,706,296,948,697,915,802,371,702,094,278,733,776,147,266,120,050,003,135,077,004,846,842,717,866,861,757,111,736,421,269,721,307,120,783,435,298,683,457,230,508,343,174,089,992,933,209,635,369,997,153,207,295,706,527,109,890,381,908,065,093,580,830,544,186,378,456,301,722,908,939,795,018,426,854,316,494,927,686,292,174,699,054,211,964,433,961,547,364,945,997,900,793,201,553,820,338,535,046,895,324,008,174,790,313,254,217,151,245,566,168,983,819,393,872,759,975,724,676,491,163,717,912,806,694,071,829,494,592,624,092,973,145,718,801,898,764,029,752,512,431,652,556,602,483,786,517,024,062,352,640,742,282,155,023,689,630,470,201,409,593,896,491,297,879,513,623,252,366,923,445,662,246,712,673,913,981,653,045,994,990,799,258,975,913,861,489,119,026,886,647,925,913,829,353,445,474,787,045,955,026,640,316,976,212,210,070,004,706,121,677,834,132,204,200,606,324,211,827,381,187,223,549,193,951,581,244,599,150,674,606,319,945,604,975,770,404,524,304,336,379,988,589,407,694,821,288,556,732,767,456,988,622,598,041,323,273,388,403,741,258,981,663,352,005,631,741,551,205,164,991,443,932,748,613,760,835,914,429,701,715,738,881,048,549,883,121,991,829,010,149,268,504,848,184,226,431,925,457,357,555,277,758,636,165,619,685,262,552,283,204,621,600,598,891,947,556,515,321,789,886,171,515,870,867,825,419,822,967,508,774,065,858,599,643,033,020,140,028,480,657,400,220,355,558,884,466,262,751,132,836,901,637,834,559,141,598,952,194,034,629,898,193,609,282,585,125,576,628,437,105,697,647,004,916,215,480,736,908,329,450,583,025,914,528,852,208,638,777,816,061,838,823,800,940,877,073,796,006,093,998,596,252,861,013,738,024,549,869,935,267,086,772,713,455,632,301,543,690,202,916,651,504,413,793,937,006,907,904,764,384,101,523,553,500,627,170,626,460,509,948,905,464,459,581,092,730,073,615,299,582,899,904,394,495,201,994,395,534,176,839,422,972,327,644,505,746,766,323,372,658,049,870,507,988,589,920,959,670,020,421,530,632,165,159,384,957,609,145,786,149,068,762,093,947,054,771,007,068,475,523,953,020,370,806,714,223,920,473,742,226,315,524,508,738,324,956,945,039,023,998,478,646,195,553,074,921,299,487,069,491,064,156,522,752,110,618,417,514,317,723,578,266,551,674,016,999,121,089,410,405,132,417,210,134,268,881,240,806,979,176,340,982,389,711,969,657,384,041,362,615,300,266,687,741,438,657,938,156,681,392,893,471,315,033,389,532,435,023,897,204,558,545,769,580,340,324,794,097,080,991,391,063,693,112,173,369,393,839,382,857,014,242,361,846,477,568,187,597,937,990,553,794,933,120,875,765,715,981,100,862,964,402,259,328,317,365,131,116,298,319,720,209,467,378,551,056,803,357,111,507,743,455,444,304,015,104,490,607,204,340,049,163,422,256,207,545,539,643,872,601,159,322,970,547,761,960,714,902,718,494,635,815,693,365,499,192,256,079,272,605,013,136,085,953,684,995,778,434,359,964,772,736,531,648,611,972,809,527,930,622,814,851,153,710,789,009,858,829,394,829,472,230,242,830,210,424,394,590,491,626,539,044,809,434,102,144,958,489,674,491,930,768,376,073,974,051,434,883,069,127,081,186,539,454,813,719,254,90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