is 2 258157 - 1
has 77714 decimal digits
takes 0.002 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
Actualunknown30000000100358126969105,417.947373.0418%5,417.947373.0418%73.0418%
PrimeNet2400.000055.0000%2600700000.000114.2706%0.000161.4218%6.4218%
GPU722440.000059.0909%45001200000.000110.3902%0.000163.3414%4.2505%
Difference-440.0000-59.0909%+29995500+10035812576910+5,417.9472+62.6517%+5,417.9472+9.7004%+9.7004%

Known prime factors (3 factors, 193.1 bits, 0.07479923% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25815761957681825.885120
23 × 3 × 5
-881.777e-117.927e-81.613e-7
258157308002608939874815462172374.70559654126934360644
22 × 7 × 1056707 × 2016173389
2017-05-121056707201617338915,5381.09832.0328
25815770482281978042107553287870012892.50913651049938224047295500
22 × 53 × 27302099876448094591
2020-11-01125273020998764480945915.517e+91.474e+102.753e+10

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
258157190831273918645119963389964277731100.590
25815743669187429475819043543003512490468136118.394
25815721708726733272889627694119098493246395295853032521
7
51167.215
25815713450223658562937815008809966804521408141403628118
621141777
59193.099
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-22T02:07:19Oliver KruseOllaptop30000000300000000024-
skipped known factor: 61957681
skipped known factor: 30800260893987481546217
--1.901--44.084%
2022-04-29T21:17:52Oliver KruseThreadripper-PC3000000010035812696910-
skipped known factor: 61957681
skipped known factor: 30800260893987481546217
--5,418--63.188%


Trial Factoring results:
No TF results for M258157


ECM factoring results:

Old Calculation Method

Total ECM effort:10.953 GHz-days
Estimated T-Level:26.875
DigitsB1CurvesCompleteFacMiss
2011000520 / 1005.2000.537%
2550000520 / 2801.85715.560%
30250000240 / 6400.37568.709%

New Calculation Method

Total ECM effort:10.953 GHz-days
Estimated T-Level:26.875
DigitsB1CompleteFacMiss
201100029.0320.000%
25500003.7302.400%
302500000.36569.421%
3510000000.02897.192%
4030000000.00299.816%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.041
250000250000002007.288
25000025000000100.364
2500002500000020.073
2500003525000070.290
2500003675000070.295
25000038500000140.602


Lucas-Lehmer results:
No L-L results for M258157


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T08:09:59Oliver KruseDoppelherz
61957681
30800260893987481546217
0A26D10EC95B77__no
2017-09-22T10:03:09Oliver KruseManual testing
61957681
30800260893987481546217
0A26D10EC95B77__no
2017-09-30T15:11:31alpertronManual testing
61957681
30800260893987481546217
0A26D10EC95B77__no
2017-12-07T04:55:05ATHxps
61957681
30800260893987481546217
0A26D10EC95B77__no
2020-04-17T20:16:53Oliver KruseAddPrpType5
61957681
30800260893987481546217
71764514DF63FF__no
2020-11-01T23:45:49Chad SteenersonEllaPhyno
61957681
30800260893987481546217
7048228197804210755328787001
71764514DF63FFC1no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-29T21:17:52+00:00