is 2 515843 - 1
has 155285 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-LCF71050481C7355Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26757.602671.6418 %200000067331464207.797111.8112 %65.399874.9912 %
Target2440.000056.8182 %900015000000.001914.5762 %0.001963.1124 %
Difference+23+57.6026+14.8236 %+1991000+6731646420+7.7952-2.7650 %+65.3979+11.8788 %

Known prime factors (1 factor, 69.9 bits, 0.01355859% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
51584311333275929149914242412269.9411098519891628840
23 × 5 × 1919461 × 14307661
2009-09-22191946114307661231.440.05490.0826

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00723.937%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.183%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00924.829%
2003-04-27ANONYMOUSv4_computers1310721310720030--0.01827.422%
2016-03-16alpertronManual testing15000005000000012---32.820%
2022-12-18USAFSSUSAFSACS20000006733146420
skipped known factor: 1133327592914991424241
--7.96146.135%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-03-08ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.019
2001-12-22ANONYMOUSv4_computers212570.037
2003-12-13ANONYMOUSv4_computers212580.074


ECM factoring results:
Total ECM effort:16.025 GHz-days
Estimated T-Level:26.433
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002794.416
2500002500000014411.58


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-07Team Prime Ribv4_computersCF71050481C7355B0.008
2002-04-28Team Prime Ribv4_computersCF71050481C7355B0.008


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
1133327592914991424241
BE3368C39730BF5C
2017-11-03kkmrkkblmbrbkc4.xlarge
1133327592914991424241
BE3368C39730BF5C
2020-04-19Oliver KruseAddPrpType5
1133327592914991424241
7CF0AA74548ECFE5


CERT results:
No CERT results for M515843


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6733146420 (P-1 stage 2)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-02-29T14:28:04+00:00