is 2 1157641 - 1
has 348485 decimal digits
takes 0.034 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0D97DD8E07E832C7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26725.667668.6567%300000100000000.03564.1420%25.703269.9550%1.2982%
PrimeNet2560.008362.5000%5000800000.00042.2532%0.008763.3450%0.8450%
GPU722600.132765.0000%5000260000.00030.7720%0.132965.2702%0.2702%
Difference+7+25.5350+3.6567%+295000+9974000+0.0353+3.3700%+25.5703+4.6848%+4.6848%

Known prime factors (4 factors, 292.5 bits, 0.02526265% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
115764137026157918281979671961.6831599207263663
1119737 × 1428199
2011-05-09111973714281990.36320.04880.0979
1157641613097002447614627612065.73326480446116180
22 × 3 × 5 × 7 × 2371 × 26591599
2017-08-112371265915999.8230.06240.1163
11576411688389313549648977462332477.16072923700592396476
22 × 33 × 675219449929597
2018-05-252767521944992959752,7431,581,0082,952,882
11576412837498850197312264220324492787.875122555215744661439264
25 × 3 × 7 × 19 × 173977 × 55171791599
2018-05-251739775517179159942,335,201129.19241.28

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
115764122700626431850692614722790480960640688739127.416
115764162514569351029011634453710023509605250831142138.843
11576411035146427101875520079749745227678125752931344142.893
1157641105061680520349226343583893259094611726983118346149.558
11576411739662039504525248826185916458045453584713168947153.607
11576414790802735882558309794917923898153807653529351461750165.035
115764138327495078419408328367059936253443355444181717971
063469506671
62204.576
115764164413001399135055666467616869573821978131016208272
424086611076263
65215.291
115764117738501865412495805480905819505347775469046132156
0414009601084183639
69226.718
115764129372267966874277064004919365109854547834499362795
10696380133654677537
70230.767
115764110875422321595821578523823175194104499470809446344
683756643459710996370461178983183967279
89292.451
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-03-16T00:00:00Jocelyn Larouchev4_computers10001000---4.29764e-5--0.005%
2002-08-10T00:00:00Jocelyn Larouchev4_computers20002000---8.59528e-5--0.018%
2002-08-10T00:00:00Jocelyn Larouchev4_computers30003000---0.000--0.033%
2002-08-10T00:00:00Jocelyn Larouchev4_computers40004000---0.000--0.049%
2002-08-10T00:00:00Jocelyn Larouchev4_computers50005000---0.000--0.065%
2002-08-17T00:00:00Jocelyn Larouchev4_computers60006000---0.000--0.080%
2002-08-17T00:00:00Jocelyn Larouchev4_computers70007000---0.000--0.095%
2002-08-17T00:00:00Jocelyn Larouchev4_computers80008000---0.000--0.110%
2002-08-17T00:00:00Jocelyn Larouchev4_computers90009000---0.000--0.124%
2002-08-17T00:00:00Jocelyn Larouchev4_computers1000010000---0.000--0.139%
2003-09-21T00:00:00Team Prime Ribv4_computers100001000000---0.003--0.984%
2016-03-17T19:02:03alpertronManual testing3000001000000012---0.036--4.142%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-12T00:00:00ANONYMOUSv4_computers21256--0.008--
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.017--
2003-05-04T00:00:00ANONYMOUSv4_computers21258--0.033--
2022-03-07T17:31:13LordJuliusManual testing258260--0.100--
2009-02-15T11:54:00Sturle Sundeginy.ifi260261--0.133--
2022-04-12T17:43:27LordJuliusManual testing21261--0.265--
2022-04-12T17:43:27LordJuliusManual testing26126261.683190.0980.0700.199
2022-04-12T17:43:27LordJuliusManual testing262263--0.848--
2022-04-12T17:43:27LordJuliusManual testing263264--1.696--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.762 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.762 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000001726.098
500005000000110.390
500005000000431.524
500005000000551.950
25000025000000447.800


Lucas-Lehmer results:
No L-L results for M1157641


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T08:00:08Oliver KruseGTX-2
3702615791828197967
61309700244761462761
C94FF8BD07BFAE2Fno
2017-10-05T21:28:10Oliver KruseManual testing
3702615791828197967
61309700244761462761
C94FF8BD07BFAE__no
2017-10-17T08:31:09Oliver KruseThreadripper
3702615791828197967
61309700244761462761
C94FF8BD07BFAE__no
2018-01-03T19:48:34ATHec2-1xf
3702615791828197967
61309700244761462761
C94FF8BD07BFAE__no
2018-05-25T16:26:36ATHec2-PRPCF
3702615791828197967
61309700244761462761
168838931354964897746233
283749885019731226422032449
19E087DD82845B__no
2018-05-26T07:37:52Gabriel Lignelli
3702615791828197967
61309700244761462761
168838931354964897746233
283749885019731226422032449
19E087DD82845B__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 9000 (P-1 stage 1)
B1 = 8000 (P-1 stage 1)
B1 = 7000 (P-1 stage 1)
B1 = 6000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4000 (P-1 stage 1)
B1 = 3000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-12T17:43:27+00:00