is 2 4054621 - 1
has 1220563 decimal digits
takes 0.506 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L41BEBC4604538BD5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2677.328467.1642 %2200001197768001.21786.9003 %8.546269.4299 %
Target2651.799466.1538 %2200018000000.02151.7535 %1.820966.7473 %
Difference+2+5.5291+1.0103 %+198000+117976800+1.1963+5.1468%+6.7253+2.6826 %

Known prime factors (1 factor, 61.9 bits, 0.00152760% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
405462144194027887949616891961.939544983463164
22 × 3 × 7 × 6487898371
2010-10-13764878983710.118563.926119.40

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-17Carsten Kossendeymother20000300000--0.0061.623%
2023-03-02USAFSS6917th_Scty_Sq220000119776800--1.2868.324%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-10-13Grant McCrackenthumper??
61.939
19
0.038
1998-03-17ANONYMOUSv4_computers212600.019
2001-07-29David Campeauv4_computers212610.038


ECM factoring results:
Total ECM effort:0.355 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.355


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-11ANONYMOUSv4_computers41BEBC4604538BD50.506
1999-10-15ANONYMOUSv4_computers41BEBC4604538BD50.506


PRP results:
dateuseridcompidcofactorsres64
2017-11-12kkmrkkblmbrbkc4.xlarge
4419402788794961689
A7C22FA130E62B77
2018-01-09noknopcr2-srv
4419402788794961689
E3F8255FA9EB736F
2018-01-11Oliver KruseGTX-7
4419402788794961689
A7C22FA130E62B77
2018-01-11kkmrkkblmbrbkc4.xlarge
4419402788794961689
E3F8255FA9EB736F


CERT results:
No CERT results for M4054621


P-1 factor-bounds graph:
B1 = 220000, B2 = 119776800 (P-1 stage 2)
B1 = 220000 (P-1 stage 1)
B1 = 20000, B2 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00