is 2 3621263 - 1
has 1090109 decimal digits
takes 0.380 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L46368FD140FD0974double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271132.019869.0141 %80000002400000003.14337.8978 %135.163071.4613 %
Target2640.982965.6250 %2000020000000.01951.9826 %1.002466.3065 %
Difference+7+131.0369+3.3891 %+7980000+238000000+3.1238+5.9153%+134.1607+5.1548 %

Known prime factors (1 factor, 100.1 bits, 0.00276482% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3621263137885922547049608032200127760131100.121190383745321797406087600
24 × 52 × 83 × 258373 × 22194463664141
2017-11-22258373221944636641414.596e+10184,152343,944

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-06Carsten Kossendeymother20000245000--0.0051.729%
2011-12-21markrtiny240000618000012--0.0865.740%
2016-03-15mikrS067800000024000000012--3.14313.089%
2022-03-05JossManual testing9000090000--0.0141.452%
2022-03-22JossManual testing100000100000--0.0151.534%
2022-05-24JossManual testing100000130364850--1.3028.083%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-17ANONYMOUSv4_computers212600.021
2009-03-12S485122USB-Z2602610.042
2011-06-01markrManual testing212620.085
2012-03-21Never Odd Or EvenManual testing2622663.909
2014-04-02ramgeisManual testing26627061.91
2016-01-08ramgeisManual testing27027166.03


ECM factoring results:
Total ECM effort:77.766 GHz-days
Estimated T-Level:25.617
DigitsB1CompleteFacMiss
201100019.2260.000%
25500001.84815.753%
302500000.12388.388%
3510000000.00699.375%


ECM Summary

B1B2factorcurvesGHz-days
50000500000044365.60
10000010000000319.201
2500002500000042.968


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17ANONYMOUSv4_computers46368FD140FD09740.380
1999-07-30ANONYMOUSv4_computers46368FD140FD09740.380


PRP results:
dateuseridcompidcofactorsres64
2017-11-23kkmrkkblmbrbkc4.xlarge
1378859225470496080322001277601
36A843E81DD05754
2017-11-26Oliver KruseThreadripper-PC
1378859225470496080322001277601
36A843E81DD05754


CERT results:
No CERT results for M3621263


P-1 factor-bounds graph:
B1 = 8000000, B2 = 240000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 240000, B2 = 6180000 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
271
270
266
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=25.62 ~= 68-bit
250
260
270
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2100
2110
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Last modified: 2024-03-13T02:15:48+00:00