is 2 675839 - 1
has 203448 decimal digits
takes 0.013 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCB3096362CBF84__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26743.966070.1493%1000000300000000.07475.5351%44.040771.8015%1.6523%
PrimeNet2400.000050.0000%65002400000.000621.1580%0.000660.5790%10.5790%
GPU722440.000054.5455%110004000000.000916.0310%0.000961.8323%7.2868%
Difference+23+43.9660+15.6038%+989000+29600000+0.0738-10.4959%+44.0398+9.9692%+9.9692%

Known prime factors (2 factors, 149.9 bits, 0.02218092% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
67583950860900846968793691962.1413762797119356
22 × 3 × 11 × 28506038783
2007-12-0611285060387832.278544.97784.004
6758392631590786973429772479331432787.766194690657610276247189
7 × 11 × 109 × 233 × 99557038186981
2015-10-162339955703818698159,516,309157,082293,385

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
675839133845078086052188643697608406837501724802676746149.907
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.614%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.232%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.854%
2002-10-19T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.617%
2003-06-17T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.507%
unknown100000030000000---0.075--5.535%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.014--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.028--
2003-10-14T00:00:00ANONYMOUSv4_computers21258--0.057--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.243 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.243 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002245.037
500005000000561.259
25000025000000444.947


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-19T00:00:00ANONYMOUSv4_computersCB3096362CBF84__0.013


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T14:50:45Oliver KruseGTX-3
5086090084696879369
263159078697342977247933143
80A55BFC656E9285no
2017-09-28T09:45:04Oliver KruseManual testing
5086090084696879369
263159078697342977247933143
80A55BFC656E92__no
2017-09-30T15:29:21alpertronManual testing
5086090084696879369
263159078697342977247933143
80A55BFC656E92__no
2017-12-08T07:38:57ATHxps
5086090084696879369
263159078697342977247933143
80A55BFC656E92__no
2020-04-20T02:24:08Oliver KruseAddPrpType5
5086090084696879369
263159078697342977247933143
A69D65E3D5C930__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-20T02:24:08+00:00