is 2 937841 - 1
has 282319 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAE0EDC17509D0967double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26731.683370.1493%1000000300000000.09075.7443%31.774071.8640%1.7147%
PrimeNet2400.000050.0000%80003600000.001023.4177%0.001061.7089%11.7089%
GPU722440.000054.5455%150006500000.001718.2705%0.001762.8502%8.3048%
Difference+23+31.6833+15.6038%+985000+29350000+0.0890-12.5262%+31.7723+9.0137%+9.0137%

Known prime factors (1 factor, 79.0 bits, 0.00842454% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9378416081406962472690370764632479.009324223773671266791
3 × 7 × 19 × 812590911456809
2009-09-1419812590911456809220,1511,556,7212,907,521

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.213%
2002-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.452%
2002-04-28T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.812%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.314%
2002-07-27T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.964%
2002-12-31T00:00:00ANONYMOUSv4_computers655366553600---0.015--2.754%
2003-09-09T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.672%
2016-03-17T18:54:33alpertronManual testing20000050000006---0.016--3.282%
unknown100000030000000---0.091--5.744%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-06-28T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-06-29T00:00:00ANONYMOUSv4_computers21255--0.005--
2000-12-07T00:00:00ANONYMOUSv4_computers21256--0.010--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.020--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.041--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.111 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:14.111 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
5000050000002807.902
25000025000000446.209


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-01T00:00:00ANONYMOUSv4_computersAE0EDC17509D09670.023


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T10:45:49Oliver KruseGTX-3
608140696247269037076463
0586D07B3D57E4__no
2017-10-15T00:13:32Oliver KruseThreadripper
608140696247269037076463
0586D07B3D57E4__no
2017-12-21T18:40:17ATHec2-1xf
608140696247269037076463
0586D07B3D57E4__no
2020-04-23T19:57:56Oliver KruseAddPrpType5
608140696247269037076463
570ED5834065D0__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 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
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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TF factor-bounds graph:
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Last modified: 2020-04-23T19:57:56+00:00