is 2 592649 - 1
has 178406 decimal digits
takes 0.009 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDEE05111798B534Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26750.137570.1493 %59264901777947000.33698.5079 %50.474372.6889 %
Target2440.000054.5455 %1000018000000.002415.4055 %0.002461.5480 %
Difference+23+50.1375+15.6038 %+5916490+175994700+0.3345-6.8976 %+50.4720+11.1410 %

Known prime factors (1 factor, 87.5 bits, 0.01476925% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5926492234112864302367112467422412787.530188485331478022160880
24 × 3 × 5 × 19 × 41334502517110123
2016-09-10194133450251711012396,843,52649,616,32992,669,486

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-31Alex Kruppav4_computers200040000--8.97000e-58.275%
2001-06-23Alex Kruppav4_computers1000004000000--0.00724.217%
2002-05-05ANONYMOUSv4_computers163841638400--0.00219.770%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00522.468%
2002-09-22ANONYMOUSv4_computers65536655360012--0.00925.118%
2003-06-01ANONYMOUSv4_computers1310721310720012--0.01827.715%
2011-07-10JossManual testing392800392800--0.00916.955%
2011-08-28JossManual testing654667654667--0.01418.530%
2012-03-05JossManual testing818334818334--0.01819.216%
2012-07-21JossManual testing11852981185298--0.02620.353%
2013-10-17David Campeaui5-2500k12450003984000012--0.07432.361%
2015-10-22Bruno Victal5820K.ECM16000006600000012--0.11033.964%
2015-11-18Sid & AndyBullseye592649017779470012--0.33737.198%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-12ANONYMOUSv4_computers212540.004
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.016
2002-01-02ANONYMOUSv4_computers212570.032
2003-11-16ANONYMOUSv4_computers212580.065
2016-02-23Mark RoseManual testing2582610.454
2015-07-13NRManual testing2612620.518
2015-09-17Gordon SpenceManual testing2622644.969


ECM factoring results:
Total ECM effort:17.863 GHz-days
Estimated T-Level:26.467
DigitsB1CompleteFacMiss
201100026.4300.000%
25500003.1944.100%
302500000.29374.565%
3510000000.02297.835%
4030000000.00199.863%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003024.875
500005000000590.979
25000025000000282.370
250000350000001009.64


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testingDEE05111798B534D0.009


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
223411286430236711246742241
9BB0A94252885E68
2017-09-28Oliver KruseManual testing
223411286430236711246742241
9BB0A94252885E68
2017-11-08kkmrkkblmbrbkc4.xlarge
223411286430236711246742241
9BB0A94252885E68
2020-04-19Oliver KruseAddPrpType5
223411286430236711246742241
F1F9E49537D00E73


CERT results:
No CERT results for M592649


P-1 factor-bounds graph:
B1 = 5926490, B2 = 177794700 (P-1 stage 2)
B1 = 5926490 (P-1 stage 1)
B1 = 1600000, B2 = 66000000 (P-1 stage 2)
B1 = 1245000, B2 = 39840000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1245000 (P-1 stage 1)
B1 = 1185298 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 818334 (P-1 stage 1)
B1 = 654667 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 392800 (P-1 stage 1)
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)
B1 = 2000, B2 = 40000 (P-1 stage 2)
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=26.47 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00