is 2 935257 - 1
has 281541 decimal digits
takes 0.023 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE6E08CEBE6B28435double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26731.770970.1493 %100000005000000001.290310.5864 %33.061273.3094 %
Target2440.000054.5455 %1500030000000.006218.0615 %0.006262.7552 %
Difference+23+31.7709+15.6038 %+9985000+497000000+1.2841-7.4751 %+33.0550+10.5542 %

Known prime factors (1 factor, 78.8 bits, 0.00842583% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9352575273873355599801723722732478.803281947815178063448
23 × 109 × 323334650433559
2014-12-1610932333465043355965,454619,4281,156,920

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.214%
2002-02-24ANONYMOUSv4_computers4096409600--0.00115.139%
2002-04-28ANONYMOUSv4_computers8192819200--0.00217.938%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.701%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00723.418%
2002-12-31ANONYMOUSv4_computers65536655360012--0.01526.083%
2003-09-09ANONYMOUSv4_computers1310721310720012--0.02928.689%
2011-06-01JossManual testing200000200000--0.00715.600%
2011-07-14JossManual testing217406217406--0.00815.860%
2011-12-02markrManual testing40000008000000012--0.28635.602%
2014-05-22alpertronManual testing1000000050000000012--1.29041.346%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-28ANONYMOUSv4_computers212550.005
2000-06-29ANONYMOUSv4_computers212550.005
2000-12-07ANONYMOUSv4_computers212560.010
2001-10-20ANONYMOUSv4_computers212570.021
2003-08-25ANONYMOUSv4_computers212580.041
2022-03-07LordJuliusManual testing258260
2010-06-21Architects Cubedi4l_12602610.164
2014-08-14lycornManual testing2612620.328


ECM factoring results:
Total ECM effort:14.021 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002807.786
25000025000000446.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-01ANONYMOUSv4_computersE6E08CEBE6B284350.023


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
527387335559980172372273
25391336AC911778
2017-10-14Oliver KruseThreadripper-PC
527387335559980172372273
25391336AC911778
2017-12-22ATHec2-1xh
527387335559980172372273
25391336AC911778
2020-04-23Oliver KruseAddPrpType5
527387335559980172372273
93CF7B33DAC6F8D8


CERT results:
No CERT results for M935257


P-1 factor-bounds graph:
B1 = 10000000, B2 = 500000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 4000000, B2 = 80000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 217406 (P-1 stage 1)
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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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00