is 2 325813 - 1
has 98080 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26791.199371.6418 %10000002056349295011.561911.6308 %102.761274.9401 %
Target2440.000056.8182 %60008000000.000511.7906 %0.000561.9096 %
Difference+23+91.1993+14.8236 %+994000+20562692950+11.5614-0.1597 %+102.7606+13.0305 %

Known prime factors (1 factor, 61.0 bits, 0.01870893% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32581322367829079179016491960.9563432617648648
23 × 79 × 5431357039
2007-08-117954313570390.49063.05125.6988

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-30ANONYMOUSv4_computers10000010000000--0.00725.463%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00221.253%
2002-08-17ANONYMOUSv4_computers65536655360012--0.00423.883%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.00926.465%
2006-01-15Jossv4_computers325813325813--0.00315.433%
2023-03-23Denial140i5-8400100000020563492950
skipped known factor: 2236782907917901649
--15.7646.640%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-19ANONYMOUSv4_computers212540.007
2022-03-07LordJuliusManual testing254255
2001-03-05ANONYMOUSv4_computers212560.029
2002-03-10ANONYMOUSv4_computers212570.059
2004-01-27ANONYMOUSv4_computers212580.118


ECM factoring results:
Total ECM effort:20.673 GHz-days
Estimated T-Level:27.133
DigitsB1CompleteFacMiss
201100030.9490.000%
25500004.2381.443%
302500000.42765.270%
3510000000.03496.638%
4030000000.00299.774%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.150
250000250000001445.510
2500003675000080.354
2500003675371705012.66


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-22ANONYMOUSv4_computers94ACDA2A88B433__0.002


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
2236782907917901649
611879A345047956
2017-09-22Oliver KruseManual testing
2236782907917901649
611879A345047956
2017-09-24Oliver KruseManual testing
2236782907917901649
611879A345047956
2017-11-07kkmrkkblmbrbkc4.xlarge
2236782907917901649
611879A345047956
2020-04-18Oliver KruseAddPrpType5
2236782907917901649
EB44F5AEC5421CBF


CERT results:
No CERT results for M325813


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20563492950 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 325813 (P-1 stage 1)
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)
100
101
102
103
104
105
106
100
101
102
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104
105
106
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109
1010
1011
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=27.13 ~= 74-bit
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Last modified: 2024-03-13T02:15:48+00:00