is 2 539261 - 1
has 162334 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7ACA45EF1E8AD050double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26755.101270.1493%1500000016650000002.218112.0153%57.319373.7359%3.5867%
PrimeNet2400.000050.0000%50001800000.000319.4333%0.000359.7167%9.7167%
GPU722440.000054.5455%90003000000.000514.6561%0.000561.2073%6.6618%
Difference+23+55.1012+15.6038%+14991000+1664700000+2.2176-2.6407%+57.3188+12.5286%+12.5286%

Known prime factors (1 factor, 63.5 bits, 0.01178234% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
539261133878908534881121032063.53812413182905391
908617 × 13661623
2009-07-27908617136616235.53730.03390.0391

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.181%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.393%
2002-03-03T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.718%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.178%
2002-05-11T00:00:00ANONYMOUSv4_computers500001000000---0.002--1.529%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.782%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.525%
2003-05-04T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.397%
2016-03-16T12:41:45alpertronManual testing15000005000000012-
skipped known factor: 13387890853488112103
--0.088--6.150%
2021-08-11T16:11:04ViliamF3150000001665000000-
skipped known factor: 13387890853488112103
--2.218--12.015%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-22T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T08:26:49LordJuliusManual testing254255--0.004--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.018--
2002-01-08T00:00:00ANONYMOUSv4_computers21257--0.036--
2003-12-23T00:00:00ANONYMOUSv4_computers21258--0.071--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.101 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000422 / 1004.2201.439%
2550000422 / 2801.50722.095%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:16.101 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002784.485
2500002500000014411.62


Lucas-Lehmer results:
No L-L results for M539261


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:27:38Oliver KruseGTX-0
13387890853488112103
DE26F16DA54FBF__no
2017-11-03T05:11:14kkmrkkblmbrbkc4.xlarge
13387890853488112103
DE26F16DA54FBF__no
2020-04-19T04:37:03Oliver KruseAddPrpType5
13387890853488112103
9136BFAFE5FC01__no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1665000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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2100
Last modified: 2022-03-07T08:26:49+00:00