Megaprime

  (Redirected from Titanic prime)

A megaprime is a prime number with at least one million decimal digits.[1]

A titanic prime, a term coined by Samuel Yates in the 1980s, is a prime number with at least 1,000 digits; and a gigantic prime has at least 10,000 digits.

The number of megaprimes found by year.

As of 18 October 2021, 1210 (probable) megaprimes are known, including 1142 definite primes[2] and 68 probable primes.[3] 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,[4][5] and was subject to a cooperative computing award.

The term bevaprime has been proposed as a term for a prime with at least 1,000,000,000 digits.[6]

In fact, almost all primes are megaprimes, as the number of primes with less than a million digits is finite. However, the vast majority of known primes are not megaprimes.

All numbers from 10999999 through 10999999 + 593498 are known to be composite, and there is a very high probability 10999999 + 593499, a strong PRP, is actually the smallest megaprime.[7]

The last prime that is not a megaprime is almost certainly 10999999 - 172473.[3]

Known megaprimes and mega PRPsEdit

Entries labelled "Prime" have been proved prime; those labelled "PRP" have not and primes that hasn't been fully verified by Prime Pages will be ranked, but be listed as a PRP. See the article Probable prime.

Rank (only for proven primes)[8] Number Discovery date Decimal digits Prime / PRP
1 282589933 – 1 7 December 2018 24,862,048 Prime
2 277232917 – 1 26 December 2017 23,249,425 Prime
3 274207281 – 1 7 January 2016 22,338,618 Prime
4 257885161 – 1 25 January 2013 17,425,170 Prime
5 243112609 – 1 23 August 2008 12,978,189 Prime
6 242643801 – 1 4 June 2009 12,837,064 Prime
7 237156667 – 1 6 September 2008 11,185,272 Prime
8 232582657 – 1 4 September 2006 9,808,358 Prime
9 10223×231172165 + 1 6 November 2016 9,383,761 Prime
10 230402457 – 1 15 December 2005 9,152,052 Prime
-   8 May 2021 8,177,207 PRP
11 225964951 – 1 18 February 2005 7,816,230 Prime
12 224036583 – 1 15 April 2005 7,235,733 Prime
13 220996011 – 1 17 November 2005 6,320,430 Prime
14 10590941048576 + 1 4 November 2018 6,317,602 Prime
15 9194441048576 + 1 2 September 2017 6,253,210 Prime
16 168451×219375200 + 1 26 September 2017 5,832,522 Prime
-   20 April 2021 5,794,777 PRP
17 7×218233956 + 1 1 October 2020 5,488,969 Prime
18 3×217748034 - 1 6 September 2021 5,342,692 Prime
19   23 February 2017 5,338,805 Prime
20 7×66772401 + 1 9 September 2019 5,269,954 Prime
21 8508301×217016603-1 22 March 2018 5,122,515 Prime
22 3×216819291-1 20 January 2021 5,063,112 Prime
23 3×216408818+1 28 October 2020 4,939,547 Prime
24 69×215866556+1 20 August 2021 4,776,312 Prime
25 2525332×732525332+1 28 August 2021 4,705,888 Prime
26 215317227+27658614+1 31 July 2020 4,610,945 Prime
27 6×56546983+1 13 June 2020 4,576,146 Prime
-   June 2021 4,556,209 PRP
28 192971×214773498-1 7 March 2021 4,447,272 Prime
29 6962×312863120-1 29 February 2020 4,269,952 Prime
30 99739×214019102-1 25 December 2019 4,220,176 Prime
31 404849×213764867+1 10 March 2021 4,143,644 Prime
32 2740879×213704395-1 26 October 2019 4,125,441 Prime
33 479216×38625889-1 16 November 2019 4,115,601 Prime
34   30 January 2017 4,055,114 Prime
35 213466917 – 1 7 December 2001 4,053,946 Prime
- 213380298 – 27 March 2021 4,027,872 PRP
-   September 2013 4,025,533 PRP
-   September 2013 4,017,941 PRP
36 9×213334487 + 1 31 March 2020 4,014,082 Prime
37 206039×213104952 - 1 26 April 2021 3,944,989 Prime
38 2805222×55610444 + 1 3 September 2019 3,921,539 Prime
39 19249×213018586 + 1 26 March 2007 3,918,990 Prime
40 2293×212918431 - 1 13 February 2021 3,888,839 Prime
-   July 2020 3,763,995 PRP
41 9×212406887 + 1 29 March 2020 3,734,847 Prime
42 69×212231580 - 1 27 July 2021 3,682,075 Prime
43 27*212184319 + 1 6 February 2021 3,667,847 Prime
44 3×211895718 − 1 26 June 2015 3,580,969 Prime
45 3×211731850 − 1 13 March 2015 3,531,640 Prime
46 69×211718455 − 1 4 December 2020 3,527,609 Prime
47 69×211604348 − 1 4 December 2020 3,493,259 Prime
48 9×211500843 + 1 13 March 2020 3,462,100 Prime
49 3×211484018 − 1 22 November 2014 3,457,035 Prime
50 193997*211452891 +1 3 April 2018 3,447,670 Prime
51 3638450524288 +1 31 May 2020 3,439,810 Prime
52 9221*211392194 -1 7 February 2021 3,429,397 Prime
53 9*211366286 +1 26 March 2020 3,421,594 Prime
54 5*211355764 -1 2 October 2021 3,418,427 Prime
55 3214654524288 +1 25 December 2019 3,411,613 Prime
56 146561*211280802 -1 17 November 2020 3,395,865 Prime
57 2985036524288 +1 19 September 2019 3,394,739 Prime
58 2877652524288 +1 29 June 2019 3,386,397 Prime
59 2788032524288 +1 18 April 2019 3,379,193 Prime
60 2733014524288 +1 19 March 2019 3,374,655 Prime
61 9*211158963 +1 13 March 2020 3,359,184 Prime
62 9271*211134335 -1 17 January 2021 3,351,773 Prime
63 2312092524288+1 5 August 2018 3,336,572 Prime
64 2061748524288+1 21 March 2018 3,310,478 Prime
65 1880370524288 + 1 15 January 2018 3,289,511 Prime
66 3×210829346 + 1 14 January 2014 3,259,959 Prime
67 5×210495620 - 1 26 September 2021 3,159,498 Prime
-   July 2020 3,143,811 PRP
68 5×210349000 - 1 26 September 2021 3,115,361 Prime
69   17 January 2017 3,107,335 Prime
70   14 January 2017 3,068,389 Prime
71 874208*541748416-1 26 September 2019 3,028,951 Prime
72 475856524288 + 1 8 August 2012 2,976,633 Prime
73 9*29778263+1 5 August 2020 2,943,552 Prime
74 1806676*411806676+1 12 March 2018 2,913,785 Prime
75 356926524288 + 1 25 July 2012 2,911,151 Prime
76 341112524288 + 1 25 June 2012 2,900,832 Prime
77 121*29584444+1 20 November 2020 2,885,208 Prime
78 11*419381365+1 7 March 2020 2,824,074 Prime
79 27653×29167433 + 1 8 June 2005 2,759,677 Prime
80 90527×29162167 + 1 30 June 2010 2,758,093 Prime
- 29092392 + 40291 February 2011 2,737,083 PRP
81 6795×29144320 - 1 31 March 2021 2,752,719 Prime
82 1323365*1161323365+1 18 January 2018 2,732,038 Prime
83 13×28989858 + 1 10 March 2020 2,706,219 Prime
84 273809×28932416 − 1 13 December 2017 2,688,931 Prime
85 2×35570081 + 1 14 February 2020 2,657,605 Prime
86 25×28788628 + 1 1 March 2021 2,645,643 Prime
87 2038×3661028507 − 1 4 April 2016 2,636,562 Prime
88 17×28636199 + 1 17 February 2021 2,599,757 Prime
89 75898524288 + 1 19 November 2021 2,558,647 Prime
90 25×28456828 + 1 28 January 2021 2,545,761 Prime
91 39×28413422 + 1 23 January 2021 2,532,694 Prime
92 31×28348000 + 1 19 January 2021 2,513,000 Prime
93 27×28342438 - 1 1 February 2021 2,511,326 Prime
94 3867×28261084 - 1 14 April 2021 2,486,838 Prime
-   August 2020 2,449,236 PRP
95 11×28103463 + 1 6 March 2020 2,439,387 Prime
96 102818×53440382 - 1 10 October 2021 2,404,729 Prime
97 11×27971110 - 1 25 November 2019 2,399,545 Prime
98 27×27963247 + 1 16 January 2021 2,397,178 Prime
99 3177×27954621 - 1 13 June 2021 2,394,584 Prime
100 39×27946769 + 1 15 January 2021 2,392,218 Prime
101 7×63072198 + 1 4 August 2019 2,390,636 Prime
102 3765×27904593 - 1 10 January 2021 2,379,524 Prime
103 29×27899985 + 1 15 January 2021 2,378,134 Prime
104 861×27895451 - 1 21 February 2021 2,376,771 Prime
-   July 2021 2,358,349 PRP
105 28433×27830457 + 1 31 December 2004 2,357,207 Prime
106 5×27755002 - 1 23 September 2021 2,334,489 Prime
107 2545×27732265 - 1 13 January 2021 2,327,648 Prime
108 5539×27730709 - 1 15 January 2021 2,327,180 Prime
109 4817×27719584 - 1 13 June 2021 2,323,831 Prime
110 1341174×531341174 + 1 22 August 2017 2,312,561 Prime
111 45×27661004 + 1 13 December 2020 2,306,194 Prime
112 15×27619838 + 1 24 December 2020 2,293,801 Prime
113 3597×27580693 - 1 10 January 2021 2,282,020 Prime
114 7401×27523295 - 1 21 February 2021 2,264,742 Prime
115 45×27513661 + 1 12 November 2020 2,261,839 Prime
116   11 January 2017 2,259,865 Prime
117 29×27374577 + 1 28 October 2020 2,219,971 Prime
118 109838×53168862 - 1 13 August 2020 2,219,971 Prime
119 101×27345194 - 1 5 October 2019 2,219,971 Prime
-   March 2018 2,201,714 PRP
120 15×27300254 + 1 25 October 2020 2,219,971 Prime
121 1759×27284439 - 1 28 August 2021 2,219,971 Prime
122 737×27269322 − 1 10 August 2017 2,188,287 Prime
123 118568×53112069 + 1 2 May 2020 2,175,248 Prime
124 6039×27207973 − 1 24 March 2021 2,169,820 Prime
125 502573×27181987 − 1 4 October 2014 2,162,000 Prime
126 402539×27173024 − 1 2 October 2014 2,159,301 Prime
127 3343×27166019 - 1 29 September 2016 2,157,191 Prime
128 161041×27107964 + 1 8 January 2015 2,139,716 Prime
-   October 2017 2,131,318 PRP
129 27*27046834+1 16 October 2018 2,121,310 Prime
130 1759×27046791 - 1 28 August 2021 2,121,299 Prime
131 327×27044001 - 1 13 January 2021 2,120,459 Prime
132 5×27037188 - 1 22 September 2021 2,118,406 Prime
133 3×27033641 + 1 21 February 2011 2,117,338 Prime
134 33661×27031232 + 1 30 October 2007 2,116,617 Prime
135   6 January 2017 2,114,016 Prime
136 207494*53017502-1 19 March 2020 2,109,149 Prime
137 15*26993631-1 25 August 2021 2,105,294 Prime
138 26972593 – 1 1 June 1999 2,098,960 Prime
139 6219*26958945-1 7 January 2021 2,094,855 Prime
140 51*26945567+1 26 May 2020 2,090,826 Prime
141 238694*52979422-1 13 March 2020 2,082,532 Prime
142 4×721119849 − 1 2016 2,079,933 Prime
147 127*26836153-1 2018 2,057,890 Prime
149 40597×26808509 – 1 2013-12-25 2,049,571 Prime
157 6679881×26679881 + 1 2009-07-25 2,010,852 Prime
158 37×26660841 − 1 2014 2,005,115 Prime
160 304207×26643565 – 1 2013-10-10 1,999,918 Prime
170 398023×26418059 – 1 2013-10-05 1,932,034 Prime
173 1582137x26328550 + 1 2009-04-20 1,905,090 Prime
191 194368*52638045-1 2018 1,843,920 Prime
195 66916*52628609-1 2018 1,837,324 Prime
196 3×26090515 – 1 2010-04-24 1,833,429 Prime
207 1583×25989282 − 1 2015 1,802,957 Prime
210 327926*52542838-1 2018 1,777,374 Prime
211 81556*52539960+1 2018 1,775,361 Prime
212 5828034262144+1 2018 1,773,542 Prime
215 5205422262144+1 2018 1,760,679 Prime
216 5152128262144+1 2018 1,759,508 Prime
217 4489246262144+1 2018 1,743,828 Prime
218 7×25775996 + 1 2012-11-02 1,738,749 Prime
220 4246258262144+1 2018 1,737,493 Prime
221 3933508262144+1 2018 1,728,783 Prime
222 3853792262144+1 2018 1,726,452 Prime
223 3673932262144 + 1 2017 1,721,010 Prime
224 3596074262144 + 1 2017 1,718,572 Prime
225 3547726262144 + 1 2017 1,717,031 Prime
227 1243×25686715 - 1 2016 1,711,875 Prime
230 3060772262144 + 1 2017 1,700,222 Prime
231 9×25642513 + 1 2013 1,698,567 Prime
233 2622×111621920 – 1 2015 1,689,060 Prime
234 2676404262144 + 1 2017 1,684,945 Prime
235 301562×52408646 - 1 2017 1,683,577 Prime
236 2611294262144 + 1 2017 1,682,141 Prime
237 171362×52400996 − 1 2017 1,678,230 Prime
238 2514168262144 + 1 2017 1,677,825 Prime
241 252191×25497878 – 1 2012-06-23 1,655,032 Prime
242 2042774262144 + 1 2016 1,654,187 Prime
243 1828858262144+1 2016 1,641,593 Prime
244 258317 × 25450519+1 2008 1,640,776 Prime
246 5*25429494-1 2017 1,634,442 Prime
247 43*25408183-1 2018 1,628,027 Prime
248 1615588262144 + 1 2016 1,627,477 Prime
249 1349×25385004 − 1 2017 1,621,051 Prime
250 1488256262144 + 1 2016 1,618,131 Prime
251 1415198262144 + 1 2016 1,612,400 Prime
253   2017 1,581,846 Prime
-   2016-07 1,577,600 PRP
255 180062×52249192 − 1 2016 1,572,123 Prime
257 27×25213635 + 1 2015 1,569,462 Prime
259   2017 1,553,498 Prime
261 53546×52216664-1 2016 1,549,387 Prime
- 25146295 + 41693 2009-11 1,549,190 PRP
262 773620262144 + 1 2012-04-19 1,543,643 Prime
268 51×25085142 - 1 2014 1,530,782 Prime
269 3×25082306 + 1 2009-04-03 1,529,928 Prime
270 676754262144+1 2012 1,528,413 Prime
271 296024 × 52185270 − 1 2016 1,527,444 Prime
272 5359 × 25054502+1 2003 1,521,561 Prime
273 13×24998362 + 1 2014 1,504,659 Prime
274 525094262144+1 2012 1,499,526 Prime
275 92158×52145024 + 1 2016 1,499,313 Prime
276 77072×52139921 + 1 2016 1,495,746 Prime
279 306398 × 52112410 − 1 2016 1,476,517 Prime
280 265711 × 24858008+1 2008 1,462,412 Prime
281 154222 × 52091432 + 1 2015 1,461,854 Prime
282 1271 × 24850526-1 2012 1,460,157 Prime
283   2015 1,457,490 Prime
284 361658262144+1 2011 1,457,075 Prime
-   2017-01 1,455,425 PRP
285 100186 × 52079747 − 1 2015 1,453,686 Prime
287   2014 1,442,553 Prime
289 653 × 101435026 − 1 2014 1,435,029 Prime
294 1229 x 24703492-1 2018 1,415,896 Prime
295 144052× 52018290 + 1 2015 1,410,730 Prime
297 9 × 24683555 − 1 2012 1,409,892 Prime
299 34x993469245+1 2018 1,406,305 Prime
300 79x24658115-1 2018 1,402,235 Prime
303 11 × 24643238 − 1 2014 1,397,755 Prime
304 68×995465908 − 1 2017 1,396,712 Prime
306   2015 1,385,044 Prime
307 27× 24583717 − 1 2014 1,379,838 Prime
- 24583176 + 2131 2009-09 1,379,674 PRP
308 121×24553899 – 1 2012-02-25 1,370,863 Prime
309 27× 24542344 − 1 2014 1,367,384 Prime
-  [*] 2014-03 1,364,591 PRP
311 4×797468702 + 1 2017 1,359,920 Prime
312 145310262144+1 2011 1,353,265 Prime
314 36772 × 61723287 − 1 2014 1,340,983 Prime
-   2015-12 1,336,138 PRP
317 151×24424321 − 1 2016 1,331,856 Prime
-   2018 1,319,850 PRP
319 49x24365175-1 2017 1,314,051 Prime
320 49x24360869-1 2017 1,312,755 Prime
321 13x24333087-1 2018 1,304,391 Prime
322 353159×24331116 – 1 2011-05-31 1,303,802 Prime
324 682156×79682156 + 1 2016 1,294,484 Prime
325 141941×24299438 – 1 2011-05-26 1,294,265 Prime
327 15 × 24246384+1 2013 1,278,291 Prime
328 3×24235414 – 1 2008-03-23 1,274,988 Prime
331 109208 × 51816285 + 1 2014 1,269,534 Prime
332 1091x24215518-1 2018 1,269,001 Prime
333 191 × 24203426-1 2012 1,265,360 Prime
334 1259 × 24196028-1 2016 1,263,134 Prime
-   2017-07 1,262,611 PRP
335 325918x51803339-1 2014 1,260,486 Prime
-   2016-05 1,260,475 PRP
-   2014-03 1,250,885 PRP
336 133778x51785689+1 2014 1,248,149 Prime
337 17x24107544-1 2015 1,236,496 Prime
338 24032x51768249+1 2014 1,235,958 Prime
339 172×159561319 − 1 2017 1,235,689 Prime
-   2014-08 1,234,695 PRP
345 1031×24054974−1 2017 1,220,672 Prime
-   2010-02 1,213,572 PRP
347 39653×430460397-1 2016 1,212,446 Prime
348 40734262144+1 2011 1,208,473 Prime
349 9 × 24005979 - 1 2012 1,205,921 Prime
350 12 × 68656921 + 1 2016 1,203,815 Prime
351 67×688423893 + 1 2017 1,202,836 Prime
352 1993191 × 41993191 − 1 2015 1,200,027 Prime
353 138172x51714207-1 2014 1,198,185 Prime
354   2016 1,195,366 Prime
357   2016 1,188,622 Prime
358 22478x51675150-1 2014 1,170,884 Prime
359 1199x23889576-1 2018 1,170,883 Prime
360 298989x23886857+1 2014 1,170,067 Prime
361 27×23855094 – 1 2012-02-28 1,160,501 Prime
363 164x978387920-1 2018 1,160,015 Prime
366 30x514424652-1 2017 1,151,218 Prime
367 24518262144+1 2008 1,150,678 Prime
368   2016 1,149,220 Prime
370 109x980383669-1 2018 1,147,643 Prime
371 123547×23804809 – 1 2011-05-08 1,145,367 Prime
372 2564x75610753+1 2014 1,145,203 Prime
373   2016 1,144,293 Prime
375 326834x51634978-1 2014 1,142,807 Prime
377 415267×23771929 – 1 2011-05-08 1,135,470 Prime
378 11 × 23771821+1 2013 1,135,433 Prime
380 938237 × 23752950-1 2007 1,129,757 Prime
382 207394x51612573-1 2014 1,127,146 Prime
383 684×101127118 + 1 2017 1,127,121 Prime
384   2016 1,126,302 Prime
385 104944x51610735-1 2014 1,125,861 Prime
386 23451 × 23739388 + 1 2015 1,125,673 Prime
390 23704053 + 21852027 + 1 2014 1,115,032 Prime
393 330286×51584399 – 1 2014-03-21 1,107,453 Prime
396 13x23675223-1 2016 1,106,354 Prime
398 15×23668194 – 1 2013 1,104,238 Prime
399 13*23664703-1 2016 1,103,187 Prime
400   2016 1,102,790 Prime
402 33300×430417849-1 2016 1,100,397 Prime
408 65531 × 23629342-1 2011 1,092,546 Prime
411 113x23628034-1 2014 1,092,150 Prime
-   2015-05 1,090,573 PRP
415 29x920367810-1 2015 1,090,113 Prime
417 14641x23618876+1 2018 1,089,395 Prime
422 485767 × 23609357-1 2008 1,086,531 Prime
429 189x23596375+1 2016 1,082,620 Prime
432 35x23587843+1 2014 1,080,050 Prime
433 275x23585539+1 2016 1,079,358 Prime
434 2x59608685+1 2014 1,077,892 Prime
437 309x23577339+1 2016 1,076,889 Prime
439 251x23574535+1 2016 1,076,045 Prime
442 35x23570777+1 2014 1,074,913 Prime
443 33x23570132+1 2014 1,074,719 Prime
444 5 × 23569154-1 2009 1,074,424 Prime
445 81 × 492399095 − 1 2015 1,074,352 Prime
446 22934×51536762 – 1 2014-02-06 1,074,155 Prime
448 771x23564109+1 2018 1,072,907 Prime
449 381x23563676+1 2016 1,072,776 Prime
450 555x23563328+1 2018 1,072,672 Prime
451 1183x23560584+1 2018 1,071,846 Prime
452 415x23559614+1 2016 1,071,554 Prime
453 1103x23558176-1 2018 1,071,121 Prime
454 1379x23557072-1 2018 1,070,789 Prime
455 681x23553141+1 2018 1,069,605 Prime
456 599x23551793+1 2018 1,069,200 Prime
457 621x23551472+1 2018 1,069,103 Prime
-   2014-01 1,068,794 PRP
458 773x23550373+1 2018 1,068,772 Prime
459 1199x23548380-1 2018 1,068,172 Prime
460 191x23548117+1 2015 1,068,092 Prime
461 867x23547711+1 2018 1,067,971 Prime
462   2014 1,067,588 Prime
463 351x23545752+1 2016 1,067,381 Prime
464 93x23544744+1 2014 1,067,077 Prime
465 1159x23543702+1 2018 1,066,764 Prime
466 178658x51525224 – 1 2014-01-31 1,066,092 Prime
467 1085x23539671+1 2018 1,065,551 Prime
468 465×23536871 – 1 2016-09-30 1,064,707 Prime
469 1019 × 23536312-1 2012 1,064,539 Prime
470 1179x23534450+1 2018 1,063,979 Prime
471 447x23533656+1 2016 1,063,740 Prime
472 1059x23533550+1 2016 1,063,529 Prime
474 553x23532758+1 2018 1,063,469 Prime
475 141x23529287+1 2015 1,062,424 Prime
476 13x23527315-1 2016 1,061,829 Prime
477 1393x23525571-1 2017 1,061,306 Prime
478 1071x23523944+1 2018 1,060,816 Prime
479 329x23518451+1 2016 1,059,162 Prime
480 135x23518338+1 2015 1,059,128 Prime
481 2×101059002 – 1 2013 1,059,003 Prime
482 64x101058794+1 2017 1,058,796 Prime
483 599x23515959+1 2018 1,058,412 Prime
484 7 × 23511774+1 2008 1,057,151 Prime
485 1135x23510890+1 2018 1,056,887 Prime
486 428639 × 23506452-1 2011 1,055,553 Prime
488 555x23502765+1 2018 1,054,441 Prime
489 643x23501974+1 2018 1,054,203 Prime
490 2x23774109+1 2014 1,054,127 Prime
491 1159x23501490+1 2018 1,054,057 Prime
494 9×23497442 + 1 2012-10-23 1,052,836 Prime
497 51×23490971 + 1 2014 1,050,889 Prime
502 59912×51500861 + 1 2014-01-17 1,049,062 Prime
-   2014-10 1,042,896 PRP
553 37292×51487989 + 1 2013-12-29 1,040,065 Prime
568 1273 × 23448551-1 2012 1,038,121 Prime
642 191249 × 23417696-1 2010 1,028,835 Prime
668 59 × 23408416-1 2010 1,026,038 Prime
682 24 × 414391179 + 1 2016 1,023,717 Prime
696 342924651×23394939 – 1 2017 1,021,988 Prime
704 67×23391385 – 1 2014 1,020,911 Prime
716 173198×51457792 – 1 2013-12-04 1,018,959 Prime
901 81×23352924 + 1 2012-01-17 1,009,333 Prime
992 1087 × 23336385-1 2012 1,004,355 Prime
1126 464253×23321908 – 1 2013 1,000,000 Prime
1128 191273×23321908 – 1 23 May 2013 1,000,000 Prime
1129 181457032298417865536 + 1 12 March 2020 1,000,000 Prime
1130 181457032297751865536 + 1 12 March 2020 1,000,000 Prime
1131 329266545599952071213195164252832768 + 1 17 July 2020 1,000,000 Prime
1132 329266545599952071213195162589432768 + 1 17 July 2020 1,000,000 Prime
1133 108416458051325316667867924053113194188466370431999
1773131187616384 + 1
23 December 2020 1,000,000 Prime
1134 108416458051325316667867924053113194188466370431999
1773115000016384 + 1
17 December 2020 1,000,000 Prime
1135 117541283763947820803514936063599937165870515987063
348437723855381224452611844232886228245901292532817
3493478126787293753508192 + 1
15 June 2021 1,000,000 Prime
1136 117541283763947820803514936063599937165870515987063
348437723855381224452611844232886228245901292532817
3493478126787292400928192 + 1
10 May 2021 1,000,000 Prime
1137 117541283763947820803514936063599937165870515987063
348437723855381224452611844232886228245901292532817
3493478126787291546788192 + 1
2 May 2021 1,000,000 Prime
1138 117541283763947820803514936063599937165870515987063
348437723855381224452611844232886228245901292532817
3493478126787291226668192 + 1
2 May 2021 1,000,000 Prime
1139 117541283763947820803514936063599937165870515987063
348437723855381224452611844232886228245901292532817
3493478126787290237868192 + 1
6 April 2021 1,000,000 Prime
1140 138159533888769035882147458995963805584809676992814
878233984916869972869600503621759663902898091163546
434463090695593184764982641875302546673096047093511
481998019892105889132464543550102310865144502037206
654116795191514099734330521220120978751444096 + 1
15 August 2021 1,000,000 Prime
1141 138159533888769035882147458995963805584809676992814
878233984916869972869600503621759663902898091163546
434463090695593184764982641875302546673096047093511
481998019892105889132464543550102310865144502037206
654116795191514099734330521220120978407024096 + 1
3 August 2021 1,000,000 Prime
1142 10999999 + 308267×10292000 + 1 19 February 2021 1,000,000 Prime (and PRP)
- 10999999 + 593499 24 December 2012 1,000,000 PRP

NotesEdit

  1. ^   = gcd( , the aurifeuillean L part of  ),   = gcd( ,the aurifeuillean M part of  ).

See alsoEdit

ReferencesEdit

  1. ^ Chris Caldwell, The Prime Glossary: megaprime at The Prime Pages. Retrieved on 2008-01-04.
  2. ^ a b c d e f g h i j k Chris Caldwell, The Largest Known Primes at The Prime Pages.
  3. ^ a b c d e f g h i j k l m n o p q r s t u v w x y z aa Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net
  4. ^ a b GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
  5. ^ Chris Caldwell, The Largest Known Prime by Year: A Brief History at The Prime Pages. Retrieved on 2008-09-28.
  6. ^ "Chris Caldwell, The Largest Known Prime by Year: A Brief History". Archived from the original on 2016-01-01. Retrieved 2008-01-04.CS1 maint: bot: original URL status unknown (link)
  7. ^ a b Patrick De Geest, 10^999999 + y, World!Of Numbers
  8. ^ Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)". Retrieved 23 November 2018.
  9. ^ "Official press release of 51st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 December 2018.
  10. ^ "Official press release of 50th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 26 December 2017.
  11. ^ "Official press release of 49th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 January 2016.
  12. ^ "Official press release of 48th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  13. ^ a b "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.
  14. ^ "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  15. ^ "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  16. ^ Official announcement of discovery of 10223×231172165 + 1, PrimeGrid
  17. ^ "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  18. ^ "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  19. ^ "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  20. ^ "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  21. ^ Official announcement of discovery of 10590941048576 + 1, PrimeGrid
  22. ^ Official announcement of discovery of 9194441048576 + 1, PrimeGrid
  23. ^ Official announcement of discovery of 168451×219375200 + 1, PrimeGrid
  24. ^ Official announcement of discovery of 3×217748034 - 1, PrimeGrid
  25. ^ Official announcement of discovery of 8508301×217016603-1, PrimeGrid
  26. ^ Official announcement of discovery of 3×216819291-1, PrimeGrid
  27. ^ Official announcement of discovery of 3×216408818+1, PrimeGrid
  28. ^ Official announcement of discovery of 99739×214019102-1, PrimeGrid
  29. ^ "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  30. ^ Official announcement of discovery of 2805222×55610444 + 1, PrimeGrid
  31. ^ Official announcement of discovery of 3×211731850 − 1, PrimeGrid
  32. ^ Official announcement of discovery of 3×211484018 − 1, PrimeGrid
  33. ^ Official announcement of discovery of 3×210829346 + 1, PrimeGrid
  34. ^ Official announcement of discovery of 475856524288 + 1, PrimeGrid
  35. ^ Official announcement of discovery of 356926524288 + 1, PrimeGrid
  36. ^ Official announcement of discovery of 341112524288 + 1, PrimeGrid
  37. ^ a b c d e f g h i j k l m n o p q Generalized Sierpinski/Riesel primes
  38. ^ Official announcement of discovery of 75898524288 + 1, PrimeGrid
  39. ^ Official announcement of discovery of 502573×27181987 − 1, PrimeGrid
  40. ^ Official announcement of discovery of 402539×27173024 − 1, PrimeGrid
  41. ^ Official announcement of discovery of 3×27033641 + 1, PrimeGrid
  42. ^ Official announcement of discovery of 40597×26808509 – 1, PrimeGrid
  43. ^ Official announcement of discovery of 6679881×26679881 + 1, PrimeGrid
  44. ^ Official announcement of discovery of 304207×26643565 – 1, PrimeGrid
  45. ^ Official announcement of discovery of 398023×26418059 – 1, PrimeGrid
  46. ^ Official announcement of discovery of 6328548×26328548 + 1, PrimeGrid
  47. ^ Official announcement of discovery of 3×26090515 – 1, PrimeGrid
  48. ^ Official announcement of discovery of 7×25775996 + 1, PrimeGrid
  49. ^ Official announcement of discovery of 252191×25497878 – 1, PrimeGrid
  50. ^ Official announcement of discovery of 773620262144 + 1, PrimeGrid
  51. ^ Official announcement of discovery of 3×25082306 + 1, PrimeGrid
  52. ^ Official announcement of discovery of 121×24553899 – 1, PrimeGrid
  53. ^ Official announcement of discovery of 353159×24331116 – 1, PrimeGrid
  54. ^ Official announcement of discovery of 141941×24299438 – 1, PrimeGrid
  55. ^ Official announcement of discovery of 3×24235414 – 1, PrimeGrid
  56. ^ Official announcement of discovery of 27×23855094 – 1, PrimeGrid
  57. ^ Official announcement of discovery of 123547×23804809 – 1, PrimeGrid
  58. ^ Official announcement of discovery of 415267×23771929 – 1, PrimeGrid
  59. ^ Official announcement of discovery of 330286×51584399 – 1, PrimeGrid
  60. ^ Official announcement of discovery of 22934×51536762 – 1, PrimeGrid
  61. ^ Official announcement of discovery of 178658×51525224 – 1, PrimeGrid
  62. ^ Official announcement of discovery of 465×23536871 – 1, PrimeGrid
  63. ^ Official announcement of discovery of 9×23497442 + 1, PrimeGrid
  64. ^ Official announcement of discovery of 59912×51500861 + 1, PrimeGrid
  65. ^ Official announcement of discovery of 37292×51487989 + 1, PrimeGrid
  66. ^ Official announcement of discovery of 173198×51457792 – 1, PrimeGrid
  67. ^ Official announcement of discovery of 81×23352924 + 1, PrimeGrid

External linksEdit