is 2 568231 - 1
has 171055 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAAEFD767C1B6DC84double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26752.292070.1493 %175000056752495806.573311.5533 %58.865373.5980 %
Target2440.000054.5455 %1000017000000.002215.1908 %0.002261.4504 %
Difference+23+52.2920+15.6038 %+1740000+5673549580+6.5712-3.6375 %+58.8632+12.1476 %

Known prime factors (2 factors, 159.6 bits, 0.02808429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
56823144648360021408434917912271.9193928715612260545
3 × 5 × 71 × 863 × 4274547911
2008-09-018634274547911841.344.92479.1978
5682312452800076049741640645860092787.665215827724644532033684
22 × 7 × 7708133023019001203
2015-07-317770813302301900120355,158,8048.880e+91.659e+10

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00011.303%
2002-01-22ANONYMOUSv4_computers4096409600--0.00114.182%
2002-03-03ANONYMOUSv4_computers8192819200--0.00116.949%
2002-04-28ANONYMOUSv4_computers163841638400--0.00219.685%
2002-04-28ANONYMOUSv4_computers163841638400--0.00219.685%
2002-05-11ANONYMOUSv4_computers500001000000--0.00219.695%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00422.381%
2002-09-14ANONYMOUSv4_computers65536655360012--0.00925.030%
2003-05-19ANONYMOUSv4_computers1310721310720012--0.01827.626%
2022-12-12USAFSS6917th_Scty_Sq17500005675249580
skipped known factor: 4464836002140843491791
--6.84945.804%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-05ANONYMOUSv4_computers212540.004
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.017
2002-01-22ANONYMOUSv4_computers212570.034
2003-11-28ANONYMOUSv4_computers212580.068


ECM factoring results:
Total ECM effort:16.191 GHz-days
Estimated T-Level:26.432
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.042
5000050000002524.069
500005000000260.421
2500002500000014411.66


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-06-15ANONYMOUSv4_computersAAEFD767C1B6DC840.008


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
4464836002140843491791
245280007604974164064586009
6651EF0CB8A079A9
2017-09-28Oliver KruseManual testing
4464836002140843491791
245280007604974164064586009
6651EF0CB8A079A9
2017-10-13Oliver KruseGTX-2
4464836002140843491791
245280007604974164064586009
6651EF0CB8A079A9
2017-12-15ATHec2-1xh
4464836002140843491791
245280007604974164064586009
6651EF0CB8A079A9
2020-04-19Oliver KruseAddPrpType5
4464836002140843491791
245280007604974164064586009
E3C3A844B683A309


CERT results:
No CERT results for M568231


P-1 factor-bounds graph:
B1 = 1750000, B2 = 5675249580 (P-1 stage 2)
B1 = 1750000 (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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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-02-09T03:30:02+00:00