is 2 2147483647 - 1
aka MM31
has 646456993 decimal digits
takes 331,368.657 GHz-days to do one PRP test
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

MM13 MM17 MM19 MM31
Double Mersenne number (MM31) also tracked by Double Mersennes Prime Search
See additional factoring effort for MM31 on Double Mersennes Prime Search:
http://www.doublemersennes.org/mm31.php


 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual28958,380.779565.1685%----58,380.779565.1685%0.0000%
PrimeNet2853,648.798663.5294%70000006000000008,794.95385.5762%12,443.752465.5631%2.0337%
GPU7228958,380.779565.1685%110000006000000009,641.16544.2585%68,021.944966.6518%1.4833%
Difference----11000000-600000000-9,641.1654-4.2585%-9,641.1654-1.4833%-1.4833%

Known prime factors (4 factors, 249.3 bits, 0.00001161% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21474836472952575266260311548.06968745
3 × 5 × 4583
2012-02-11545832.931e-80.05690.1043
2147483647870547092619551771756.27320269004
22 × 7 × 723893
2012-02-1177238936.854e-68.825816.482
21474836472425576156446932652012167.71756474845800
23 × 3 × 52 × 94124743
2012-02-1125941247430.02181,147.42,143.0
21474836471780213792285112153671512477.23641448832329225
3 × 52 × 552651097723
2012-02-112555265109772327.9976,736,89412,582,641

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21474836472570355813783311817788316341248732104.342
21474836477161696165955961519177212223304723135115.786
21474836472111578270922184273523647490543589557738123.990
21474836475256215211756491217236229059593890768138125.305
21474836471549759941115031026261243733204616019072741133.509
21474836474318044127944740465062186965396250622681235144144.953
214748364762345937754975532364038540349229121011843016459648
87
52172.059
214748364745757828707772750792331984275035165311319318717630
14537
55181.578
214748364712749350290790210178877245776356905366628011358181
188908881
59193.022
214748364737590607613852216309608848792059117017605142839190
90551991127
61201.226
214748364711098909828435654392299475550572200554504154005224
48778227026709325359226937
76249.295
P-1 results:
Exponent "2147483647" not found


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2019-07-01T16:53:1024824948.069151.18487e-8122,9432.45921e-8
2021-09-04T21:44:32slaurpalvi2-rtx26426867.717210.026674,0210.053
2012-09-17T02:31:04Åke Tilander274275--1.782--
2012-09-17T03:16:23Åke Tilander275276--3.563--
2012-09-17T04:50:33Åke Tilander276277--7.127--
2012-09-17T05:42:13Åke Tilander27727877.2362410.50122,914-
2012-09-17T14:21:17Åke Tilander278279--28.51--
2012-09-18T04:00:36Åke Tilander279280--57.01--
2012-09-19T05:57:34Åke Tilander280281--114.0--
2012-09-21T10:07:45Åke Tilander281282--228.1--
2012-09-25T13:35:15Åke Tilander282283--456.1--
2012-10-04T01:12:36Åke Tilander283284--912.2--
2012-10-20T21:01:40Åke Tilander284285--1,824--
2012-11-23T06:51:04Åke Tilander285286--3,649--
2012-12-09T17:00:00Double Mersennes Prime Search286287--7,298--
2016-01-24T17:00:00Double Mersennes Prime Search287288--14,595--
2016-11-25T17:00:00Double Mersennes Prime Search288289--29,190--


ECM factoring results:
Exponent "2147483647" not found


Lucas-Lehmer results:
Exponent "2147483647" not found


PRP results:
Exponent "2147483647" not found


P-1 factor-bounds graph:
100
101
102
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
289
288
287
286
285
284
283
282
281
280
279
278
277
276
275
268
249
240
250
260
270
280
290
2100
Last modified: 2021-09-04T21:44:32+00:00