is 2 3083503 - 1
has 928227 decimal digits
takes 0.262 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L86939A5A7B64E73Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26938.717968.1159 %30000001000000001.02247.4142 %39.740470.4799 %
Target2641.154365.6250 %1400011000000.00901.4681 %1.163366.1297 %
Difference+5+37.5636+2.4909 %+2986000+98900000+1.0134+5.9461%+38.5770+4.3502 %

Known prime factors (1 factor, 77.8 bits, 0.00252376% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30835032668235391062466323617212477.82043266301201303620
22 × 3 × 5 × 11 × 65555001820157
2022-05-2011655550018201579,926.4440,777823,249

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-14ANONYMOUSv4_computers2048204800--0.0020.573%
2013-01-05Squeeky_SquirrelP4_2600210000598500012--0.0655.501%
2018-03-23mikrMSI300000010000000012--1.02210.982%
2022-08-25JossManual testing10000001000000--0.1233.883%
2022-09-27JossManual testing1000000118249950--1.12510.416%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-31ANONYMOUSv4_computers212590.012
1998-07-05ANONYMOUSv4_computers212590.012
1998-07-11ANONYMOUSv4_computers212590.012
2001-07-03David Campeauv4_computers212600.025
2016-02-23Mark RoseManual testing2602610.050
2011-11-14Sid & AndyBuzz2612620.100
2013-01-07dbaughManual testing2622630.318
2015-02-07VictordeHollanderManual testing2632640.637
2015-02-07VictordeHollanderManual testing2642651.212
2015-06-08ThaManual testing2652662.423
2017-05-18Gordon SpenceManual testing2662674.847
2018-08-10ramgeisManual testing2672689.69
2021-03-03TJAOIManual testing26826919.39


ECM factoring results:
Total ECM effort:11.265 GHz-days
Estimated T-Level:21.730
DigitsB1CompleteFacMiss
20110003.7422.372%
25500000.34670.750%
302500000.02297.841%
3510000000.00199.898%


ECM Summary

B1B2factorcurvesGHz-days
500005000000859.81
50000500000050.583
50000574184970.870


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22lozcsv4_computers86939A5A7B64E73F0.262


PRP results:
dateuseridcompidcofactorsres64
2022-05-26XZT7040Micro4
266823539106246632361721
A6AAB724ABACC8EF


CERT results:
dateuseridcompid
2022-05-26Ruslan BorisovMB2013


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 118249950 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 210000, B2 = 5985000 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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265
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this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.73 ~= 56-bit
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Last modified: 2024-02-29T14:28:04+00:00