is 2 4458877 - 1
has 1342256 decimal digits
takes 0.556 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L37B83F6F7BC88147double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.664065.6716 %2240001272242401.29197.0562 %7.955868.0939 %
Target2651.636264.6154 %2600027500000.03152.0877 %1.667865.3541 %
Difference+2+5.0278+1.0563 %+198000+124474240+1.2603+4.9685%+6.2881+2.7398 %

Known prime factors (1 factor, 74.7 bits, 0.00167625% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4458877315871458074516791123192374.7423542051710268267
7 × 13781 × 36717755401
2010-01-0813781367177554011,223.4361.78675.71

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-03-25ANONYMOUSv4_computers25000331250--0.0081.802%
2023-03-15USAFSS6917th_Scty_Sq224000127224240--1.4368.501%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-06-15David Campeauv4_computers212610.034


ECM factoring results:
Total ECM effort:0.355 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.355


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-31ANONYMOUSv4_computers37B83F6F7BC881470.556
2000-04-12ANONYMOUSv4_computersFF7CBB6D7731795F0.556
2001-04-08ANONYMOUSv4_computers37B83F6F7BC881470.556


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
31587145807451679112319
51D1E866290045E8
2018-02-15Oliver KruseGTX-1
31587145807451679112319
51D1E866290045E8


CERT results:
No CERT results for M4458877


P-1 factor-bounds graph:
B1 = 224000, B2 = 127224240 (P-1 stage 2)
B1 = 224000 (P-1 stage 1)
B1 = 25000, B2 = 331250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
261
this exponent TF target: 65
TF double-checked to: 67
250
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280
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Last modified: 2024-03-13T02:15:48+00:00