is 2 10457 - 1
has 3148 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672,841.533779.1045%1000000000001204432115202416101,247,541.995140.3552%1,250,383.528887.5369%8.4324%
PrimeNet2400.000065.0000%500100000.00003.1128%0.000066.0895%1.0895%
GPU722440.000268.1818%500100000.00001.2813%0.000268.5895%0.4077%
Difference+23+2,841.5334+10.9227%+99999999500+120443211520231610+1,247,541.9951+39.0740%+1,250,383.5285+18.9474%+8.0248%

Known prime factors (5 factors, 178.3 bits, 1.70522977% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1045762743515.9373
3
-134.177e-132.108e-103.869e-10
10457313711618.25915
3 × 5
2008-08-26353.350e-125.910e-101.161e-9
10457317941947911134.8881520235
33 × 5 × 11261
2008-08-2627112612.309e-71.215e-72.178e-7
1045736793673662816391651.708175928438667
3 × 331 × 2357 × 75167
2008-08-262357751670.04671.202e-61.454e-6
104572071150333621378391857.5239903176501967
32 × 7 × 19 × 8273330411
2008-08-291982733304112.56200.08570.1601

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
10457196831692731134.196
1045719948631637717131650.825
1045799741886420794011653.147
104572308545466626088757772167.646
104576258105179699878569432169.084
1045711542580158435792523292269.967
10457129950185382406144323772373.460
10457649742642310696236105292375.782
10457724216106880736930288784472685.905
104571169825227512070757327424492786.596
1045740766802606500013941954210472891.719
1045765850557148602740973577966492892.411
10457733983442497898555269945947760731102.534
104573669870419480392293519436641823932104.856
1045741316615071747817769052023514820733108.348
1045776205229481898289569144121283812133109.232
10457206580441336453144735621174455443934110.670
10457230258679729458253672290013217956957737120.793
104574781344713382744382436809601710222590338125.169
1045712961476630773079660147079348857916617739126.607
1045723906418745995794319025771432065977703139127.491
104571499960431380014122958633976962115639025603344143.428
104572422883910240330227011091655250050902442771144144.120
10457152019005180209039433356923725353943771966787127349160.057
10457760085334365404235845876574260148718656224164552149162.379
1045747690034134088557969677833898804511054647472756492
4103
54178.316
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07T22:00:02kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 62743
skipped known factor: 313711
skipped known factor: 31794194791
skipped known factor: 3679367366281639
skipped known factor: 207115033362137839
--0.122--12.078%
2021-08-02T04:59:34ViliamF325000000040250000000-
skipped known factor: 62743
skipped known factor: 313711
skipped known factor: 31794194791
skipped known factor: 3679367366281639
skipped known factor: 207115033362137839
--0.462--14.554%
2021-08-27T06:37:23Seth_TrManual testing400000000400000000-
skipped known factor: 62743
skipped known factor: 313711
skipped known factor: 31794194791
skipped known factor: 3679367366281639
--0.076--7.651%
2022-11-04T03:33:18-Anonymous-2650v4100000000000120443211520241610-
skipped known factor: 62743
skipped known factor: 313711
skipped known factor: 31794194791
skipped known factor: 3679367366281639
skipped known factor: 207115033362137839
--1,247,542--40.355%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??18.25961.08429e-141.69429e-51.33994e-13
2008-08-26T19:58:00ANONYMOUSManual testing??34.888111.20802e-81.65051e-51.45428e-7
2008-08-26T19:58:00ANONYMOUSManual testing??51.708160.0182.93551e-60.039


ECM factoring results:
Total ECM effort:38.500 GHz-days
Estimated T-Level:40.568
DigitsB1CompleteFacMiss
20110001,047.8500.000%
2550000263.1050.000%
3025000050.9710.000%
3510000007.9410.036%
4030000001.02036.050%
45110000000.11489.267%
50440000000.01198.911%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000003550.049
2500002500000020.001
3500003500000060.006
4000004000000010.001
9500009500000050.013
10000001000000009692.651
30000003000000004,35335.72
10000000100000000020.055


Lucas-Lehmer results:
No L-L results for M10457


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:04:03Oliver KruseOliver-PC2508E3E4B681C5__?
2017-09-21T19:21:51Oliver KruseManual testing2508E3E4B681C5__?
2017-10-02T10:03:34kkmrkkblmbrbkManual testing
62743
313711
31794194791
3679367366281639
207115033362137839
2508E3E4B681C5__no
2017-10-12T15:34:57kkmrkkblmbrbkManual testing
62743
313711
31794194791
3679367366281639
207115033362137839
2508E3E4B681C5__no
2020-04-17T13:47:10Oliver KruseManual testing
62743
313711
31794194791
3679367366281639
207115033362137839
5E8F64152CB764__no


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 120443211520241610 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 250000000, B2 = 40250000000 (P-1 stage 2)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 250000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
267
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Last modified: 2022-11-04T03:33:18+00:00