is 2 56022023 - 1
has 16864310 decimal digits
takes 118.736 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5DA4FEBF63D9EAB9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27334.144564.3836 %10000006000000012.95195.9478 %47.096466.5020 %
Target27334.144564.3836 %3600006000000011.09223.9393 %45.236765.7866 %
Difference---+640000-+1.8597+2.0085%+1.8597+0.7154 %

Known prime factors (1 factor, 77.3 bits, 0.00013804% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
560220231903096870634962410880312477.3331698525658949305
5 × 1499 × 8161 × 27768799
2018-02-05816127768799996.344.67328.6840

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-03-24WizzardComp58500012285000--3.7574.213%
2018-02-05Oliver KruseManual testing1000000600000001222477.33312.955.948%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-01ANONYMOUSv4_computers212532.14000e-5
2000-03-01ANONYMOUSv4_computers212544.28000e-5
2000-05-31ANONYMOUSv4_computers212560.000
2001-09-16ANONYMOUSv4_computers212570.000
2002-08-31ANONYMOUSv4_computers212580.001
2004-09-021997rj7v4_computers212600.001
2016-02-23Mark RoseManual testing2602630.031
2008-02-17James HeinrichQ66002632640.034
2008-02-18Chad DavisBayes2642650.067
2008-02-19Chad DavisBayes2652670.400
2009-11-19ANONYMOUSGIS2672680.534
2011-04-09TheJudgerManual testing2682703.201
2011-08-14NBBlackBird2702714.268
2012-04-15garoManual testing2712728.537
2016-01-08ANONYMOUSManual testing27227317.07


ECM factoring results:
No ECM results for M56022023


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2013-03-26FCG PrimesNEWCHEROKEE5DA4FEBF63D9EAB9118.7


PRP results:
No PRP results for M56022023


CERT results:
No CERT results for M56022023


P-1 factor-bounds graph:
B1 = 1000000, B2 = 60000000 (P-1 stage 2)
B1 = 585000, B2 = 12285000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 585000 (P-1 stage 1)
102
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108
TF factor-bounds graph:
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270
268
267
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this exponent TF target: 73
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00