Un megaprime es un número primo con al menos un millón de dígitos decimales [1] (mientras que el primo titanic es un número primo con al menos 1,000 dígitos, y el primo gigantesco tiene al menos 10,000 dígitos).
A diciembre de 2018 [actualizar], se conocen 449 megaprimes (probables), incluidos 421 números primos definidos [2] y 28 números primos probables . [3] El primero en ser encontrado fue el Mersenne prime 2 6972593 −1 con 2,098,960 dígitos, descubierto en 1999 por Nayan Hajratwala , un participante en el proyecto de computación distribuida GIMPS , [4] [5] y estaba sujeto a un premio de computación cooperativa .
El término bevaprime se ha propuesto como un término para un número primo con al menos 1.000.000.000 de dígitos. [6]
De hecho, casi todos los números primos son megaprimos, ya que el número de números primos con menos de un millón de dígitos es finito. Sin embargo, la gran mayoría de los primos conocidos no son megaprimes.
Megaprimes y mega PRP conocidos
Las entradas etiquetadas como "Prime" han demostrado ser las mejores; los etiquetados como "PRP" no lo han hecho. Consulte el artículo Probable prime .
Rango (solo para primos probados) [7] | Número | Fecha de descubrimiento | Dígitos decimales | Prime / PRP |
---|---|---|---|---|
1 | 2 82589933 - 1 | 2018-12-07 | 24,862,048 | principal |
2 | 2 77232917 - 1 | 2017-12-26 | 23,249,425 | principal |
3 | 2 74207281 - 1 | 2016-01-07 | 22,338,618 | principal |
4 | 2 57885161 - 1 | 2013-01-25 | 17.425.170 | principal |
5 | 2 43112609 - 1 | 2008-08-23 | 12,978,189 | principal |
6 | 2 42643801 - 1 | 2009-06-04 | 12,837,064 | principal |
7 | 2 37156667 - 1 | 2008-09-06 | 11,185,272 | principal |
8 | 2 32582657 - 1 | 2006-09-04 | 9.808.358 | principal |
9 | 10223 × 2 31172165 + 1 | 2016-11 | 9.383.761 | principal |
10 | 2 30402457 - 1 | 2005-12-15 | 9.152.052 | principal |
11 | 2 25964951 - 1 | 2005-02-18 | 7.816.230 | principal |
12 | 2 24036583 - 1 | 2004-05-15 | 7.235.733 | principal |
13 | 2 20996011 - 1 | 2003-11-17 | 6.320.430 | principal |
14 | 1059094 1048576 + 1 | 2018 | 6.317.602 | principal |
15 | 919444 1048576 + 1 | 2017-09-02 | 6.253.210 | principal |
dieciséis | 168451 × 2 19375200 + 1 | 2017 | 5,832,522 | principal |
17 | 2017 | 5.338.805 | principal | |
18 | 8508301 * 2 17016603 -1 | 2018 | 5.122.515 | principal |
19 | 2017 | 4.055.114 | principal | |
20 | 2 13466917 - 1 | 2001-11-14 | 4.053.946 | principal |
- | 2013-09 | 4.025.533 | PRP | |
- | 2013-09 | 4.017.941 | PRP | |
21 | 19249 × 2 13018586 + 1 | 2007-03-26 | 3.918.990 | principal |
22 | 3 × 2 11895718 - 1 | 2015-06 | 3,580,969 | principal |
23 | 3 × 2 11731850 - 1 | 2015-03-13 | 3,531,640 | principal |
24 | 3 × 2 11484018 - 1 | 2014-11-22 | 3.457.035 | principal |
25 | 193997 * 2 11452891 +1 | 2018 | 3,447,670 | principal |
26 | 2312092 524288 +1 | 2018 | 3.336.572 | principal |
27 | 2061748 524288 +1 | 2018 | 3,310,478 | principal |
28 | 1880370 524288 + 1 | 2018 | 3,289,511 | principal |
29 | 3 × 2 10829346 + 1 | 2014-01-14 | 3,259,959 | principal |
30 | 2017 | 3.107.335 | principal | |
31 | 2017 | 3,068,389 | principal | |
32 | 475856 524288 + 1 | 2012-08-08 | 2,976,633 | principal |
33 | 1806676 * 41 1806676 +1 | 2018 | 2,913,785 | principal |
34 | 356926 524288 + 1 | 2012-06-20 | 2,911,151 | principal |
35 | 341112 524288 + 1 | 2012-06-15 | 2,900,832 | principal |
36 | 27653 × 2 9167433 + 1 | 2005 | 2,759,677 | principal |
37 | 90527 × 2 9162167 + 1 | 2010 | 2.758.093 | principal |
- | 2 9092392 + 40291 | 2011-02 | 2,737,083 | PRP |
38 | 1323365 * 116 1323365 +1 | 2018 | 2,732,038 | principal |
39 | 273809 × 2 8932416 - 1 | 2017 | 2.688.931 | principal |
40 | 2038 × 366 1028507 - 1 | 2016 | 2,636,562 | principal |
41 | 75898 524288 + 1 | 2011-11-19 | 2.558.647 | principal |
42 | 28433 × 2 7830457 + 1 | 2004 | 2,357,207 | principal |
43 | 1341174 × 53 1341174 + 1 | 2017 | 2,312,561 | principal |
44 | 2017 | 2,259,865 | principal | |
- | 2018 | 2.201.714 | PRP | |
45 | 737 × 2 7269322 - 1 | 2017 | 2,188,287 | principal |
46 | 502573 × 2 7181987 - 1 | 2014-10-04 | 2,162,000 | principal |
47 | 402539 × 2 7173024 - 1 | 2014-10-02 | 2,159,301 | principal |
48 | 3343 × 2 7166019 - 1 | 2016 | 2,157,191 | principal |
49 | 161041 × 2 7107964 + 1 | 2015-01 | 2,139,716 | principal |
- | 2017-10 | 2,131,318 | PRP | |
50 | 27 * 2 7046834 +1 | 2018 | 2.121.310 | principal |
51 | 3 × 2 7033641 + 1 | 2011-02-21 | 2,117,338 | principal |
52 | 33661 × 2 7031232 + 1 | 2007 | 2,116,617 | principal |
53 | 2017 | 2,114,016 | principal | |
54 | 2 6972593 - 1 | 1999-06-01 | 2,098,960 | principal |
55 | 4 × 72 1119849 - 1 | 2016 | 2,079,933 | principal |
56 | 127 * 2 6836153 -1 | 2018 | 2,057,890 | principal |
57 | 40597 × 2 6808509 - 1 | 2013-12-25 | 2,049,571 | principal |
58 | 6679881 × 2 6679881 + 1 | 2009-07-25 | 2,010,852 | principal |
59 | 37 × 2 6660841 - 1 | 2014 | 2.005.115 | principal |
60 | 304207 × 2 6643565 - 1 | 2013-10-10 | 1,999,918 | principal |
61 | 398023 × 2 6418059 - 1 | 2013-10-05 | 1.932.034 | principal |
62 | 1582137x2 6328550 + 1 | 2009-04-20 | 1.905.090 | principal |
63 | 194368 * 5 2638045 -1 | 2018 | 1.843.920 | principal |
64 | 66916 * 5 2628609 -1 | 2018 | 1.837.324 | principal |
sesenta y cinco | 3 × 2 6090515 - 1 | 2010-04-24 | 1.833.429 | principal |
66 | 1583 × 2 5989282 - 1 | 2015 | 1,802,957 | principal |
67 | 327926 * 5 2542838 -1 | 2018 | 1,777,374 | principal |
68 | 81556 * 5 2539960 +1 | 2018 | 1,775,361 | principal |
69 | 5828034 262144 +1 | 2018 | 1,773,542 | principal |
70 | 5205422 262144 +1 | 2018 | 1,760,679 | principal |
71 | 5152128 262144 +1 | 2018 | 1,759,508 | principal |
72 | 4489246 262144 +1 | 2018 | 1,743,828 | principal |
73 | 7 × 2 5775996 + 1 | 2012-11-02 | 1,738,749 | principal |
74 | 4246258 262144 +1 | 2018 | 1,737,493 | principal |
75 | 3933508 262144 +1 | 2018 | 1,728,783 | principal |
76 | 3853792 262144 +1 | 2018 | 1,726,452 | principal |
77 | 3673932 262144 + 1 | 2017 | 1,721,010 | principal |
78 | 3596074 262144 + 1 | 2017 | 1,718,572 | principal |
79 | 3547726 262144 + 1 | 2017 | 1,717,031 | principal |
80 | 1243 × 2 5686715 - 1 | 2016 | 1,711,875 | principal |
81 | 3060772 262144 + 1 | 2017 | 1,700,222 | principal |
82 | 9 × 2 5642513 + 1 | 2013 | 1,698,567 | principal |
83 | 2622 × 11 1621920 - 1 [17] | 2015 | 1,689,060 | principal |
84 | 2676404 262144 + 1 | 2017 | 1,684,945 | principal |
86 | 301562 × 5 2408646 - 1 | 2017 | 1,683,577 | principal |
86 | 2611294 262144 + 1 | 2017 | 1,682,141 | principal |
87 | 171362 × 5 2400996 - 1 | 2017 | 1,678,230 | principal |
88 | 2514168 262144 + 1 | 2017 | 1,677,825 | principal |
89 | 252191 × 2 5497878 - 1 [29] | 2012-06-23 | 1,655,032 | principal |
90 | 2042774 262144 + 1 | 2016 | 1,654,187 | principal |
91 | 1828858 262144 +1 | 2016 | 1,641,593 | principal |
92 | 258317 × 2 5450519 +1 | 2008 | 1,640,776 | principal |
93 | 5 * 2 ^ 5429494-1 | 2017 | 1,634,442 | principal |
94 | 43 * 2 ^ 5408183-1 | 2018 | 1,628,027 | principal |
94 | 1615588 262144 + 1 | 2016 | 1,627,477 | principal |
95 | 1349 × 2 5385004 - 1 | 2017 | 1,621,051 | principal |
96 | 1488256 262144 + 1 | 2016 | 1,618,131 | principal |
97 | 1415198 262144 + 1 | 2016 | 1,612,400 | principal |
98 | 2017 | 1,581,846 | principal | |
- | [3] | 2016-07 | 1,577,600 | PRP |
99 | 180062 × 5 2249192 - 1 | 2016 | 1,572,123 | principal |
100 | 27 × 2 5213635 + 1 | 2015 | 1,569,462 | principal |
101 | 2017 | 1,553,498 | principal | |
102 | 53546 × 5 2216664 -1 | 2016 | 1,549,387 | principal |
- | 2 5146295 + 41693 [3] | 2009-11 | 1,549,190 | PRP |
103 | 773620 262144 + 1 [30] | 2012-04-19 | 1,543,643 | principal |
104 | 51 × 2 5085142 - 1 | 2014 | 1,530,782 | principal |
105 | 3 × 2 5082306 + 1 [31] | 2009-04-03 | 1,529,928 | principal |
106 | 676754 262144 +1 | 2012 | 1,528,413 | principal |
107 | 296024 × 5 2185270 - 1 | 2016 | 1,527,444 | principal |
108 | 5359 × 2 5054502 +1 | 2003 | 1,521,561 | principal |
109 | 13 × 2 4998362 + 1 | 2014 | 1,504,659 | principal |
110 | 525094 262144 +1 | 2012 | 1.499.526 | principal |
111 | 92158 × 5 2145024 + 1 | 2016 | 1.499.313 | principal |
112 | 77072 × 5 2139921 + 1 | 2016 | 1,495,746 | principal |
113 | 306398 × 5 2112410 - 1 | 2016 | 1,476,517 | principal |
114 | 265711 × 2 4858008 +1 | 2008 | 1,462,412 | principal |
115 | 154222 × 5 2091432 + 1 | 2015 | 1,461,854 | principal |
116 | 1271 × 2 4850526 -1 | 2012 | 1,460,157 | principal |
117 | 2015 | 1,457,490 | principal | |
118 | 361658 262144 +1 | 2011 | 1,457,075 | principal |
- | [3] | 2017-01 | 1,455,425 | PRP |
119 | 100186 × 5 2079747 - 1 | 2015 | 1,453,686 | principal |
120 | [*] | 2014 | 1,442,553 | principal |
121 | 653 × 10 1435026 - 1 [17] | 2014 | 1.435.029 | principal |
122 | 1229 x 2 4703492 -1 | 2018 | 1,415,896 | |
123 | 144052 × 5 2018290 + 1 | 2015 | 1.410.730 | principal |
124 | 9 × 2 4683555 - 1 | 2012 | 1.409.892 | principal |
125 | 34x993 469245 +1 | 2018 | 1.406.305 | principal |
126 | 79x2 4658115 -1 | 2018 | 1.402.235 | principal |
127 | 11 × 2 4643238 - 1 | 2014 | 1,397,755 | principal |
128 | 68 × 995 465908 - 1 [17] | 2017 | 1.396.712 | principal |
129 | 2015 | 1.385.044 | principal | |
130 | 27 × 2 4583717 - 1 | 2014 | 1,379,838 | principal |
- | 2 4583176 + 2131 [3] | 2009-09 | 1.379.674 | PRP |
131 | 121 × 2 4553899 - 1 [32] | 2012-02-25 | 1,370,863 | principal |
132 | 27 × 2 4542344 - 1 | 2014 | 1,367,384 | principal |
- | [*] [3] | 2014-03 | 1.364.591 | PRP |
133 | 4 × 797 468702 + 1 [17] | 2017 | 1.359.920 | principal |
134 | 145310 262144 +1 | 2011 | 1,353,265 | principal |
135 | 36772 × 6 1723287 - 1 | 2014 | 1,340,983 | principal |
- | [3] | 2015-12 | 1,336,138 | PRP |
136 | 151 × 2 4424321 - 1 | 2016 | 1,331,856 | principal |
- | [3] | 2018 | 1.319.850 | PRP |
137 | 49x2 4365175 -1 | 2017 | 1.314.051 | principal |
138 | 49x2 4360869 -1 | 2017 | 1.312.755 | principal |
139 | 13x2 4333087 -1 | 2018 | 1,304,391 | principal |
140 | 353159 × 2 4331116 - 1 [33] | 2011-05-31 | 1,303,802 | principal |
141 | 682156 × 79 682156 + 1 | 2016 | 1.294.484 | principal |
142 | 141941 × 2 4299438 - 1 [34] | 2011-05-26 | 1.294.265 | principal |
143 | 15 × 2 4246384 +1 | 2013 | 1,278,291 | principal |
144 | 3 × 2 4235414 - 1 [35] | 2008-03-23 | 1,274,988 | principal |
145 | 109208 × 5 1816285 + 1 | 2014 | 1,269,534 | principal |
146 | 1091x2 4215518 -1 | 2018 | 1,269,001 | |
147 | 191 × 2 4203426 -1 | 2012 | 1.265.360 | principal |
148 | 1259 × 2 4196028 -1 | 2016 | 1,263,134 | principal |
- | [3] | 2017-07 | 1.262.611 | PRP |
149 | 325918x5 1803339 -1 | 2014 | 1,260,486 | principal |
- | [3] | 2016-05 | 1,260,475 | PRP |
- | [3] | 2014-03 | 1,250,885 | PRP |
150 | 133778x5 1785689 +1 | 2014 | 1.248.149 | principal |
151 | 17x2 4107544 -1 | 2015 | 1,236,496 | principal |
152 | 24032x5 1768249 +1 | 2014 | 1,235,958 | principal |
153 | 172 × 159 561319 - 1 [17] | 2017 | 1,235,689 | principal |
- | [3] | 2014-08 | 1,234,695 | PRP |
154 | 1031 × 2 4054974 −1 | 2017 | 1.220.672 | principal |
- | [3] | 2010-02 | 1.213.572 | PRP |
155 | 39653 × 430 460397 -1 [17] | 2016 | 1,212,446 | principal |
156 | 40734 262144 +1 | 2011 | 1.208.473 | principal |
157 | 9 × 2 4005979 - 1 | 2012 | 1.205.921 | principal |
158 | 12 × 68 656921 + 1 [17] | 2016 | 1.203.815 | principal |
159 | 67 × 688 423893 + 1 [17] | 2017 | 1.202.836 | principal |
160 | 1993191 × 4 1993191 - 1 | 2015 | 1.200.027 | principal |
161 | 138172x5 1714207 -1 | 2014 | 1,198,185 | principal |
162 | 2016 | 1,195,366 | principal | |
163 | 2016 | 1,188,622 | principal | |
164 | 22478x5 1675150 -1 | 2014 | 1,170,884 | principal |
165 | 1199x2 3889576 -1 | 2018 | 1,170,883 | principal |
166 | 298989x2 3886857 +1 | 2014 | 1,170,067 | principal |
167 | 27 × 2 3855094 - 1 [36] | 2012-02-28 | 1,160,501 | principal |
168 | 164x978 387920 -1 | 2018 | 1,160,015 | principal |
169 | 30x514 424652 -1 | 2017 | 1,151,218 | principal |
170 | 24518 262144 +1 | 2008 | 1,150,678 | principal |
171 | 2016 | 1,149,220 | principal | |
172 | 109x980 383 669 -1 | 2018 | 1,147,643 | principal |
173 | 123547 × 2 3804809 - 1 [37] | 2011-05-08 | 1,145,367 | principal |
174 | 2564 x 75 610753 +1 | 2014 | 1,145,203 | principal |
175 | 2016 | 1,144,293 | principal | |
176 | 326834x5 1634978 -1 | 2014 | 1,142,807 | principal |
177 | 415267 × 2 3771929 - 1 [38] | 2011-05-08 | 1,135,470 | principal |
178 | 11 × 2 3771821 +1 | 2013 | 1,135,433 | principal |
179 | 938237 × 2 3752950 -1 | 2007 | 1.129.757 | principal |
180 | 207394x5 1612573 -1 | 2014 | 1.127.146 | principal |
181 | 684 × 10 1127118 + 1 [17] | 2017 | 1.127.121 | principal |
182 | 2016 | 1.126.302 | principal | |
183 | 104944x5 1610735 -1 | 2014 | 1.125.861 | principal |
184 | 23451 × 2 3739388 + 1 [17] | 2015 | 1.125.673 | principal |
185 | 2 3704053 + 2 1852027 + 1 | 2014 | 1,115,032 | principal |
186 | 330286 × 5 1584399 - 1 [39] | 2014-03-21 | 1,107,453 | principal |
187 | 13x2 3675223 -1 | 2016 | 1,106,354 | principal |
188 | 15 × 2 3668194 - 1 | 2013 | 1,104,238 | principal |
189 | 13 * 2 3664703 -1 | 2016 | 1,103,187 | principal |
190 | 2016 | 1.102.790 | principal | |
191 | 33300 × 430 417849 -1 [17] | 2016 | 1,100,397 | principal |
192 | 65531 × 2 3629342 -1 | 2011 | 1.092.546 | principal |
193 | 113x2 3628034 -1 | 2014 | 1.092.150 | principal |
- | [3] | 2015-05 | 1.090.573 | PRP |
194 | 29x920 367810 -1 | 2015 | 1.090.113 | principal |
195 | 14641x2 3618876 +1 | 2018 | 1.089.395 | principal |
196 | 485767 × 2 3609357 -1 | 2008 | 1.086.531 | principal |
197 | 189x2 3596375 +1 | 2016 | 1.082.620 | principal |
198 | 35x2 3587843 +1 | 2014 | 1.080.050 | principal |
199 | 275x2 3585539 +1 | 2016 | 1.079.358 | principal |
200 | 2x59 608685 +1 | 2014 | 1.077.892 | principal |
201 | 309x2 3577339 +1 | 2016 | 1.076.889 | principal |
202 | 251x2 3574535 +1 | 2016 | 1.076.045 | principal |
203 | 35x2 3570777 +1 | 2014 | 1.074.913 | principal |
204 | 33x2 3570132 +1 | 2014 | 1.074.719 | principal |
205 | 5 × 2 3569154 -1 | 2009 | 1.074.424 | principal |
206 | 81 × 492 399095 - 1 [17] | 2015 | 1.074.352 | principal |
207 | 22934 × 5 1536762 - 1 [40] | 2014-02-06 | 1.074.155 | principal |
208 | 771x2 3564109 +1 | 2018 | 1.072.907 | principal |
209 | 381x2 3563676 +1 | 2016 | 1.072.776 | principal |
210 | 555x2 3563328 +1 | 2018 | 1.072.672 | principal |
211 | 1183x2 3560584 +1 | 2018 | 1.071.846 | principal |
212 | 415x2 3559614 +1 | 2016 | 1.071.554 | principal |
213 | 1103x2 3558176 -1 | 2018 | 1.071.121 | principal |
214 | 1379x2 3557072 -1 | 2018 | 1.070.789 | principal |
215 | 681x2 3553141 +1 | 2018 | 1.069.605 | principal |
216 | 599x2 3551793 +1 | 2018 | 1.069.200 | principal |
217 | 621x2 3551472 +1 | 2018 | 1.069.103 | principal |
- | [3] | 2014-01 | 1.068.794 | PRP |
218 | 773x2 3550373 +1 | 2018 | 1.068.772 | principal |
219 | 1199x2 3548380 -1 | 2018 | 1.068.172 | principal |
220 | 191x2 3548117 +1 | 2015 | 1.068.092 | principal |
221 | 867x2 3547711 +1 | 2018 | 1.067.971 | principal |
222 | 2014 | 1.067.588 | principal | |
223 | 351x2 3545752 +1 | 2016 | 1.067.381 | principal |
224 | 93x2 3544744 +1 | 2014 | 1.067.077 | principal |
225 | 1159x2 3543702 +1 | 2018 | 1.066.764 | principal |
226 | 178658x5 1525224 - 1 [41] | 2014-01-31 | 1.066.092 | principal |
227 | 1085x2 3539671 +1 | 2018 | 1.065.551 | principal |
228 | 465 × 2 3536871 - 1 [42] | 2016-09-30 | 1.064.707 | principal |
229 | 1019 × 2 3536312 -1 | 2012 | 1.064.539 | principal |
230 | 1179x2 3534450 +1 | 2018 | 1.063.979 | principal |
231 | 447x2 3533656 +1 | 2016 | 1.063.740 | principal |
232 | 1059x2 3533550 +1 | 2016 | 1.063.529 | principal |
234 | 553x2 3532758 +1 | 2018 | 1.063.469 | principal |
235 | 141x2 3529287 +1 | 2015 | 1.062.424 | principal |
236 | 13x2 3527315 -1 | 2016 | 1.061.829 | principal |
237 | 1393x2 3525571 -1 | 2017 | 1.061.306 | principal |
238 | 1071x2 3523944 +1 | 2018 | 1.060.816 | principal |
239 | 329x2 3518451 +1 | 2016 | 1.059.162 | principal |
240 | 135x2 3518338 +1 | 2015 | 1.059.128 | principal |
241 | 2 × 10 1059002 - 1 | 2013 | 1.059.003 | principal |
242 | 64x10 1058794 +1 | 2017 | 1.058.796 | principal |
243 | 599x2 3515959 +1 | 2018 | 1.058.412 | principal |
244 | 7 × 2 3511774 +1 | 2008 | 1.057.151 | principal |
245 | 1135x2 3510890 +1 | 2018 | 1.056.887 | principal |
246 | 428639 × 2 3506452 -1 | 2011 | 1.055.553 | principal |
247 | 555x2 3502765 +1 | 2018 | 1.054.441 | principal |
248 | 643x2 3501974 +1 | 2018 | 1.054.203 | principal |
249 | 2x23 774 109 1 | 2014 | 1.054.127 | principal |
250 | 1159x2 3501490 +1 | 2018 | 1.054.057 | principal |
253 | 9 × 2 3497442 + 1 [43] | 2012-10-23 | 1.052.836 | principal |
256 | 51 × 2 3490971 + 1 | 2014 | 1.050.889 | principal |
261 | 59912 × 5 1500861 + 1 [44] | 2014-01-17 | 1.049.062 | principal |
- | [3] | 2014-10 | 1.042.896 | PRP |
274 | 37292 × 5 1487989 + 1 [45] | 2013-12-29 | 1.040.065 | principal |
275 | 1273 × 2 3448551 -1 | 2012 | 1.038.121 | principal |
293 | 191249 × 2 3417696 -1 | 2010 | 1.028.835 | principal |
298 | 59 × 2 3408416 -1 | 2010 | 1.026.038 | principal |
302 | 24 × 414 391179 + 1 [17] | 2016 | 1.023.717 | principal |
307 | 342924651 × 2 3394939 - 1 | 2017 | 1.021.988 | principal |
312 | 67 × 2 3391385 - 1 | 2014 | 1.020.911 | principal |
315 | 173198 × 5 1457792 - 1 [46] | 2013-12-04 | 1.018.959 | principal |
356 | 81 × 2 3352924 + 1 [47] | 2012-01-17 | 1.009.333 | principal |
384 | 1087 × 2 3336385 -1 | 2012 | 1.004.355 | principal |
410 | 464253 × 2 3321908 - 1 | 2013 | 1,000,000 | principal |
412 | 191273 × 2 3321908 - 1 [2] | 2013 | 1,000,000 | principal |
- | 10 999999 + 593499 [3] [48] | 2012-12-24 | 1,000,000 | PRP |
Se sabe que todos los números del 10 999999 al 10 999999 + 593498 son compuestos , y hay una probabilidad muy alta de que 10 999999 + 593499, un PRP fuerte , sea en realidad el megaprime más pequeño. [48]
La última prima que no es una megaprime es casi con certeza 10 999999 - 172473. [3]
Notas
^ * = mcd (, la parte L aurifeuilleana de), = mcd (, la aurifeuillean M parte de).
Ver también
- Titanic prime : al menos 1000 dígitos
- Número primo más grande conocido
- Premios de la Electronic Frontier Foundation
Referencias
- ^ Chris Caldwell, The Prime Glossary: megaprime en The Prime Pages . Consultado el 4 de enero de 2008.
- ^ a b c d e f g Chris Caldwell, Los premios más grandes conocidos en The Prime Pages.
- ^ a b c d e f g h i j k l m n o p q r s t u v Henri Lifchitz y Renaud Lifchitz, Probable Primes Top 10000 , primenumbers.net
- ^ Comunicado de prensa de GIMPS , GIMPS encuentra primer primer millón de dígitos . Consultado el 4 de enero de 2008.
- ^ Chris Caldwell, La prima más grande conocida por año: una breve historia en las páginas principales. Consultado el 28 de septiembre de 2008.
- ^ "Chris Caldwell, la prima más grande conocida por año: una breve historia " . Archivado desde el original el 1 de enero de 2016 . Consultado el 4 de enero de 2008 .CS1 maint: bot: estado de URL original desconocido ( enlace )
- ^ Caldwell, Chris K. "LOS PRIMOS MÁS GRANDES CONOCIDOS (Los 5.000 números primos más grandes conocidos)" . Consultado el 23 de noviembre de 2018 .
- ^ Entrada para el número
- ^ Entrada para el número
- ^ Entrada para el número , http://primes.utm.edu
- ^ Anuncio oficial del descubrimiento de 3 × 2 11731850 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 3 × 2 11484018 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 3 × 2 10829346 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 475856 524288 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 356926 524288 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 341112 524288 + 1 , PrimeGrid
- ^ a b c d e f g h i j k l m n o p q Primos de Sierpinski / Riesel generalizados
- ^ Anuncio oficial del descubrimiento de 75898 524288 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 502573 × 2 7181987 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 402539 × 2 7173024 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 3 × 2 7033641 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 40597 × 2 6808509 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 6679881 × 2 6679881 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 304207 × 2 6643565 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 398023 × 2 6418059 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 6328548 × 2 6328548 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 3 × 2 6090515 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 7 × 2 5775996 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 252191 × 2 5497878 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 773620 262144 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 3 × 2 5082306 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 121 × 2 4553899 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 353159 × 2 4331116 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 141941 × 2 4299438 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 3 × 2 4235414 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 27 × 2 3855094 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 123547 × 2 3804809 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 415267 × 2 3771929 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 330286 × 5 1584399 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 22934 × 5 1536762 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 178658 × 5 1525224 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 465 × 2 3536871 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 9 × 2 3497442 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 59912 × 5 1500861 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 37292 × 5 1487989 + 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 173198 × 5 1457792 - 1 , PrimeGrid
- ^ Anuncio oficial del descubrimiento de 81 × 2 3352924 + 1 , PrimeGrid
- ^ a b Patrick De Geest, 10 ^ 999999 + y , World! Of Numbers
enlaces externos
- Chris Caldwell, la base de datos de Primes más grande conocida en Prime Pages
- PRP principales
- Un archivo de texto para los primos superiores
- PrimeGrid's 321 Prime Search , sobre el descubrimiento de 3 × 2 6090515 −1