is 2 2096377 - 1
has 631073 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.173968.6567%500000150000000.12305.1521%14.296970.2716%1.6148%
PrimeNet2580.018363.7931%90001600000.00162.6769%0.020064.7623%0.9692%
GPU722620.293166.1290%90001400000.00151.4012%0.294666.6036%0.4746%
Difference+5+13.8809+2.5277%+491000+14860000+0.1214+3.7510%+14.0023+3.6679%+3.6679%

Known prime factors (5 factors, 241.0 bits, 0.01149386% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2096377251565241927.90660
22 × 3 × 5
-458.640e-123.865e-77.761e-7
20963773759223236411238.45289660
22 × 5 × 4483
2008-07-15544832.458e-82.374e-54.348e-5
2096377256343470168571444.5436113964
22 × 3 × 467 × 1091
2008-08-2646710911.530e-64.776e-59.061e-5
20963773078037059760091548.12973413252
22 × 32 × 11 × 89 × 2083
2008-08-268920832.351e-51.884e-52.019e-5
209637745887921954711977004149912581.9241094457770589735935
5 × 218891554117947187
2022-06-035218891554117947187393,1411.137e+92.124e+9

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2096377945689899440281624812066.358
209637764487106851732622675372272.450
2096377774327134745478443031692376.035
209637796365232955966200366163372582.995
20963771157102843758124610795287692786.581
209637778903470120636354527605837132892.672
2096377115438061455263095806354301092783134109.831
2096377242421430525887795829681764194221734110.901
20963772910868557517979634227477493991832935114.487
2096377172502942482721851642929920671010223137120.376
2096377198493704766341836000986035706151983337120.579
209637711763069152695378039709790293177250328739126.468
2096377141244724371982135488486246372598995091940130.053
2096377296615758310878329795970571744645945903340131.124
209637743395744298875060944519911439713568487615267145148.282
20963772959179326297478576145700965162595634656744716747154.374
209637735532263126616259561855695293908241996651640647948157.960
209637774618214723873859956800817709849647840836627195348159.030
20963774422000289031015550928627936308018572244035030796750164.919
209637753097044987948108809773038338057421707248602337607
9
51168.505
209637736207162788517094576513738021721065871399627495641
583
53174.597
209637711124215684121570835441080605966593423590465833348
142575047
59192.826
209637713357370918781008088224777544815654763622626093973
4947270039
60196.411
209637791084636328195349297604714452451231707155222982513
01277016503
61202.503
209637713611080767907295265853203262084113612335770453063
417481463563703
65213.048
209637734240748136490637992125201492481762031586286669455
77807007994435664047423
73240.955
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T13:44:25alpertronManual testing5000001500000012-
skipped known factor: 251565241
skipped known factor: 375922323641
skipped known factor: 25634347016857
skipped known factor: 307803705976009
--0.123--5.152%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:20:00ANONYMOUSManual testing??44.543144.12327e-70.2988.91824e-7
2008-08-26T20:20:00ANONYMOUSManual testing??48.129155.62158e-60.2981.21576e-5
2008-07-15T07:50:00J FeitsmaManual testing??38.452127.10804e-90.2981.53741e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:2.760 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.760 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110001.20829.869%
25500000.11289.425%
302500000.00799.294%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.106
50000650000030.286
50000662564570.674
50000700000070.693


Lucas-Lehmer results:
No L-L results for M2096377


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T23:02:36Oliver KruseGTX-1
251565241
375922323641
25634347016857
307803705976009
10382DE972A61740no
2017-10-17T22:35:38Oliver KruseGTX-1
251565241
375922323641
25634347016857
307803705976009
15850DC63C302B__no
2017-11-17T00:47:57kkmrkkblmbrbkc4.xlarge
251565241
375922323641
25634347016857
307803705976009
15850DC63C302B__no
2022-06-21T01:07:13some-studentsGIMPS_IN_SHANGHAI
251565241
375922323641
25634347016857
307803705976009
4588792195471197700414991
15850DC63C302BE8no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
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104
105
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1010
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1016
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1018
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-30T13:11:39+00:00