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A megaprime is a prime number with at least one million decimal digits〔Chris Caldwell, (The Prime Glossary: megaprime ) at The Prime Pages. Retrieved on 2008-01-04.〕 (whereas titanic prime is a prime number with at least 1,000 digits, and gigantic prime has at least 10,000 digits). , 136 megaprimes are known.〔Chris Caldwell, (The Largest Known Primes ) at The Prime Pages. Retrieved on 2015-06-30.〕 The first to be found was the Mersenne prime 26972593−1 with 2,098,960 digits, discovered in 1999 by Nayan Hajratwala, a participant in the distributed computing project GIMPS.〔GIMPS press release, (''GIMPS Finds First Million-Digit Prime'' ). Retrieved on 2008-01-04.〕〔Chris Caldwell, (''The Largest Known Prime by Year: A Brief History'' ) at The Prime Pages. Retrieved on 2008-09-28.〕 The term bevaprime has been proposed as a term for a prime with at least 1,000,000,000 digits.〔 ==Known megaprimes and mega PRPs== Entries labelled "Prime" have been proved prime; those labelled "PRP" have not. See the article Probable prime. | 2013-09 | 4,025,533 | PRP |- | | 2013-09 | 4,017,941 | PRP |- | 19249×213018586 + 1 | 2007-03-26 | 3,918,990 | Prime |- | 3×211895718 − 1 | 2015-06 | 3,580,969 | Prime |- | 3×211731850 − 1 | 2015-03-13 | 3,531,640 | Prime |- | 3×211484018 − 1 | 2014-11-22 | 3,457,035 | Prime |- | 3×210829346 + 1 | 2014-01-14 | 3,259,959 | Prime |- | 475856524288 + 1 | 2012-08-08 | 2,976,633 | Prime |- | 356926524288 + 1 | 2012-06-20 | 2,911,151 | Prime |- | 341112524288 + 1 | 2012-06-15 | 2,900,832 | Prime |- | 27653×29167433 + 1 | 2005 | 2,759,677 | Prime |- | 90527 × 29162167 + 1 | 2010 | 2,758,093 | Prime |- | 29092392 + 40291 | 2011-02 | 2,737,083 | PRP |- | 75898524288 + 1 | 2011-11-19 | 2,558,647 | Prime |- | 28433×27830457 + 1 | 2004 | 2,357,207 | Prime |- | 502573×27181987 − 1 | 2014-10-04 | 2,162,000 | Prime |- | 402539×27173024 − 1 | 2014-10-02 | 2,159,301 | Prime |- | 161041×27107964 + 1 | 2015-01 | 2,139,716 | Prime |- | 3×27033641 + 1 | 2011-02-21 | 2,117,338 | Prime |- | 33661×27031232 + 1 | 2007 | 2,116,617 | Prime |- | 26972593 – 1 | 1999-06-01 | 2,098,960 | Prime |- | 40597×26808509 – 1 | 2013-12-25 | 2,049,571 | Prime |- | 6679881×26679881 + 1 | 2009-07-25 | 2,010,852 | Prime |- | 37×26660841 − 1 | 2014 | 2,005,115 | Prime |- | 304207×26643565 – 1 | 2013-10-10 | 1,999,918 | Prime |- | 398023×26418059 – 1 | 2013-10-05 | 1,932,034 | Prime |- | 6328548×26328548 + 1 | 2009-04-20 | 1,905,090 | Prime |- | 3×26090515 – 1 | 2010-04-24 | 1,833,429 | Prime |- | 7×25775996 + 1 | 2012-11-02 | 1,738,749 | Prime |- | 9×25642513 + 1 | 2013 | 1,698,567 | Prime |- | 2622×111621920 – 1 | 2015 | 1,689,060 | Prime |- | 252191×25497878 – 1 | 2012-06-23 | 1,655,032 | Prime |- | 258317 × 25450519+1 | 2008 | 1,640,776 | Prime |- | 27×25213635 + 1 | 2015 | 1,569,462 | Prime |- | 25146295 + 41693 | 2009-11 | 1,549,190 | PRP |- | 773620262144 + 1 | 2012-04-19 | 1,543,643 | Prime |- | 51×25085142 - 1 | 2014 | 1,530,782 | Prime |- | 3×25082306 + 1 | 2009-04-03 | 1,529,928 | Prime |- | 676754262144+1 | 2012 | 1,528,413 | Prime |- | 5359 × 25054502+1 | 2003 | 1,521,561 | Prime |- | 525094262144+1 | 2012 | 1,499,526 | Prime |- | 265711 × 24858008+1 | 2008 | 1,462,412 | Prime |- | 1271 × 24850526-1 | 2012 | 1,460,157 | Prime |- | 361658262144+1 | 2011 | 1,457,075 | Prime |- | 653 × 101435026-1 | | 1,435,029 | Prime |- | 9 × 24683555-1 | 2012 | 1,409,892 | Prime |- | 24583176 + 2131 | 2009-09 | 1,379,674 | PRP |- | 121×24553899 – 1 | 2012-02-25 | 1,370,863 | Prime |- | | 2014-03 | 1,364,591 | PRP |- | 145310262144+1 | 2011 | 1,353,265 | Prime |- | 353159×24331116 – 1 | 2011-05-31 | 1,303,802 | Prime |- | 141941×24299438 – 1 | 2011-05-26 | 1,294,265 | Prime |- | 15 × 24246384+1 | 2013 | 1,278,291 | Prime |- | 3×24235414 – 1 | 2008-03-23 | 1,274,988 | Prime |- | 191 × 24203426-1 | 2012 | 1,265,360 | Prime |- | | 2014-03 | 1,250,885 | PRP |- | | 2014-08 | 1,234,695 | PRP |- | | 2010-02 | 1,213,572 | PRP |- | 40734262144+1 | 2011 | 1,208,473 | Prime |- | 9 × 24005979-1 | 2012 | 1,205,921 | Prime |- | 27×23855094 – 1 | 2012-02-28 | 1,160,501 | Prime |- | 24518262144+1 | 2008 | 1,150,678 | Prime |- | 123547×23804809 – 1 | 2011-05-08 | 1,145,367 | Prime |- | 415267×23771929 – 1 | 2011-05-08 | 1,135,470 | Prime |- | 11 × 23771821+1 | 2013 | 1,135,433 | Prime |- | 938237 × 23752950-1 | 2007 | 1,129,757 | Prime |- | 23451 × 23739388 + 1 | | 1,125,673 | Prime |- | 330286×51584399 – 1 | 2014-03-21 | 1,107,453 | Prime |- | 15×23668194 – 1 | 2013 | 1,104,238 | Prime |- | 65531 × 23629342-1 | 2011 | 1,092,546 | Prime |- | | 2015-05 | 1,090,573 | PRP |- | 485767 × 23609357-1 | 2008 | 1,086,531 | Prime |- | 5 × 23569154-1 | 2009 | 1,074,424 | Prime |- | 22934×51536762 – 1 | 2014-02-06 | 1,074,155 | Prime |- | | 2014-01 | 1,068,794 | PRP |- | 178658×51525224 – 1 | 2014-01-31 | 1,066,092 | Prime |- | 1019 × 23536312-1 | 2012 | 1,064,539 | Prime |- | 2×101059002 – 1 | 2013 | 1,059,003 | Prime |- | 7 × 23511774+1 | 2008 | 1,057,151 | Prime |- | 428639 × 23506452-1 | 2011 | 1,055,553 | Prime |- | 9×23497442 + 1 | 2012-10-23 | 1,052,836 | Prime |- | 51×23490971 + 1 | 2014 | 1,050,889 | Prime |- | 59912×51500861 + 1 | 2014-01-17 | 1,049,062 | Prime |- | 37292×51487989 + 1 | 2013-12-29 | 1,040,065 | Prime |- | 1273 × 23448551-1 | 2012 | 1,038,121 | Prime |- | 191249 × 23417696-1 | 2010 | 1,028,835 | Prime |- | 59 × 23408416-1 | 2010 | 1,026,038 | Prime |- | | 2014-10 | 1,042,896 | PRP |- | 67×23391385 – 1 | 2014 | 1,020,911 | Prime |- | 173198×51457792 – 1 | 2013-12-04 | 1,018,959 | Prime |- | 81×23352924 + 1 | 2012-01-17 | 1,009,333 | Prime |- | 1087 × 23336385-1 | 2012 | 1,004,355 | Prime |- | 464253×23321908 – 1 | 2013 | 1,000,000 | Prime |- | 191273×23321908 – 1 | 2013 | 1,000,000 | Prime |- | 10999999 + 593499 | 2012-12-24 | 1,000,000 | PRP |} 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Megaprime」の詳細全文を読む スポンサード リンク
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