is 2 253639 - 1
has 76353 decimal digits
takes 0.001 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-daysProbability
Actualunknown30000000101202470268904,486.311473.0216%4,486.311473.0216%
Target2440.000059.0909%45001100000.000110.1829%0.000163.2566%
Difference-440.0000-59.0909%+29995500+10120246916890+4,486.3113+62.8388%+4,486.3113+9.7650%

Known prime factors (2 factors, 187.0 bits, 0.07373744% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25363956102836523531342.35111059584
27 × 3 × 83 × 347
-1283474.272e-61.139e-62.119e-6
2536393562263099153037414751077705673177548430320744144.67670223094617803993367563302679658442677
7 × 13 × 157 × 29567 × 50707 × 1989583 × 11856763 × 138974634571
2022-04-23118567631389746345715.564e+1161.696115.06

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-28Oliver KruseOllaptop30000000300000000024-
skipped known factor: 5610283652353
--1.561--44.048%
2022-04-23Oliver KruseThreadripper-PC300000001012024702689044144.6764,4860.0038,97363.164%


Trial Factoring results:
No TF results for M253639


ECM factoring results:
Total ECM effort:11.498 GHz-days
Estimated T-Level:27.844
DigitsB1CompleteFacMiss
201100040.4170.000%
25500005.5650.383%
302500000.56956.626%
3510000000.04695.527%
4030000000.00399.698%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.681
250000250000002527.536
25000033000000321.059
25000036250000140.481
25000038500000210.741


Lucas-Lehmer results:
No L-L results for M253639


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseDoppelherz
5610283652353
FCDBA92F58A728__no
2017-09-22Oliver KruseManual testing
5610283652353
FCDBA92F58A728__no
2017-10-12kkmrkkblmbrbkc4.xlargeFCDBA92F58A728__no
2020-04-17Oliver KruseAddPrpType5
5610283652353
7CB2DE0970A9A2__no
2022-04-23aperson12012_VP113
5610283652353
35622630991530374147510777056731775484303207
7CB2DE0970A9A26Eno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (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: 2023-01-29T18:18:59+00:00