is 2 2484631 - 1
has 747949 decimal digits
takes 0.172 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5801244D68E158C7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.959167.1642 %1000000578128320031.773812.4280 %43.732971.2450 %
Target2630.642465.0794 %110008000000.00541.3804 %0.647865.5614 %
Difference+4+11.3167+2.0848 %+989000+5780483200+31.7684+11.0476%+43.0851+5.6836 %

Known prime factors (1 factor, 63.6 bits, 0.00255803% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2484631135757536669482633032063.5582731945642421
192 × 7567716461
2009-02-1536175677164611.141941.46877.450

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-10-14ANONYMOUSv4_computers2048204800--0.0010.661%
2003-10-31Team Prime Ribv4_computers15000228750--0.0031.687%
2023-01-25USAFSSUSAFSACS218000238697550--1.48010.262%
2023-03-21Denial140i5-840010000005781283200--35.3816.480%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-02ANONYMOUSv4_computers212590.015
2022-03-10LordJuliusManual testing21260
2009-01-14Sturle Sundegobi.ifi2602610.062


ECM factoring results:
Total ECM effort:5.565 GHz-days
Estimated T-Level:20.973
DigitsB1CompleteFacMiss
20110002.08312.451%
25500000.19582.320%
302500000.01298.770%


ECM Summary

B1B2factorcurvesGHz-days
10.198
500007000000505.367


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16ANONYMOUSv4_computers5801244D68E158C70.172


PRP results:
dateuseridcompidcofactorsres64
2017-10-14Oliver KruseGTX-2
13575753666948263303
4757A9E89D3A49BA
2017-11-30kkmrkkblmbrbkold
13575753666948263303
4757A9E89D3A49BA


CERT results:
No CERT results for M2484631


P-1 factor-bounds graph:
B1 = 1000000, B2 = 5781283200 (P-1 stage 2)
B1 = 218000, B2 = 238697550 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 218000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=20.97 ~= 53-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00