is 2 253601 - 1
has 76342 decimal digits
takes 0.001 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
Actualunknown30000000101202470268904,486.311473.0213%4,486.311473.0213%73.0213%
PrimeNet2400.000055.0000%2600700000.000114.2346%0.000161.4056%6.4056%
GPU722440.000059.0909%45001100000.000110.1826%0.000163.2565%4.1656%
Difference-440.0000-59.0909%+29995500+10120246916890+4,486.3113+62.8387%+4,486.3113+9.7648%+68.8557%

Known prime factors (2 factors, 183.8 bits, 0.07246584% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2536015755875886709991549.0321134829099
1134829099
-111348290990.00030.50300.9395
2536013642550954570996283836039239731511592982341134.74271816573171458241170895210187095311
3391 × 17579 × 173483 × 770047 × 2437657 × 3699610207
2022-04-23243765736996102076.098e+111.65873.0630

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
25360120966071205527653737363331489281130192193243310719
303177
56183.774
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-28T04:12:45Oliver KruseOllaptop30000000300000000024-
skipped known factor: 575587588670999
--1.561--44.048%
2022-04-23T14:23:06Oliver KruseThreadripper-PC300000001012024702689041134.7424,4860.0038,97363.163%


Trial Factoring results:
No TF results for M253601


ECM factoring results:
Total ECM effort:15.766 GHz-days
Estimated T-Level:28.321
DigitsB1CompleteFacMiss
201100044.9440.000%
25500006.3520.174%
302500000.66451.470%
3510000000.05494.698%
4030000000.00499.636%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.681
250000250000002387.118
2500001250000001006.967


Lucas-Lehmer results:
No L-L results for M253601


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T07:27:55Oliver KruseOllaptop
575587588670999
10B6FA3212068D__no
2017-09-22T10:06:24Oliver KruseManual testing
575587588670999
10B6FA3212068D__no
2017-10-12T16:56:00Oliver KruseGTX-010B6FA3212068D__no
2017-11-06T15:35:36kkmrkkblmbrbkc4.xlarge
575587588670999
10B6FA3212068D__no
2020-04-17T20:14:16Oliver KruseAddPrpType5
575587588670999
9B8514745F42E0__no
2022-04-24T11:56:33Oliver KruseServer-Phi
575587588670999
36425509545709962838360392397315115929823
9B8514745F42E014no


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: 2022-04-24T11:56:33+00:00