is 2 624469 - 1
has 187984 decimal digits
takes 0.009 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L47D173232CF54904double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26747.582770.1493 %200000061997535607.483611.9145 %55.066373.7058 %
Target2440.000054.5455 %1100018000000.002415.6263 %0.002461.6483 %
Difference+23+47.5827+15.6038 %+1989000+6197953560+7.4812-3.7118 %+55.0639+12.0575 %

Known prime factors (1 factor, 83.0 bits, 0.01329359% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
62446997679612720584989952585512583.0147821013750929588975
3 × 52 × 2917 × 23063 × 1550063743
2010-12-052306315500637433,136,9591.86113.4752

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-31Alex Kruppav4_computers200040000--8.97000e-58.353%
2001-02-11Alex Kruppav4_computers1000004000000--0.00724.322%
2002-05-11ANONYMOUSv4_computers163841638400--0.00219.875%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00522.576%
2002-10-07ANONYMOUSv4_computers65536655360012--0.00925.228%
2003-05-19ANONYMOUSv4_computers1310721310720012--0.01827.826%
2016-03-17alpertronManual testing10000003000000012---31.539%
2023-01-11USAFSSUSAFSACS20000006199753560
skipped known factor: 9767961272058498995258551
--8.66046.378%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-04-15ANONYMOUSv4_computers212560.015
2001-10-20ANONYMOUSv4_computers212570.031
2003-11-08ANONYMOUSv4_computers212580.061
2008-10-15Sturle Sundebach.ifi2582590.061
2008-10-15Sturle Sundebach.ifi2592600.123


ECM factoring results:
Total ECM effort:18.568 GHz-days
Estimated T-Level:26.527
DigitsB1CompleteFacMiss
201100024.6920.000%
25500003.1724.194%
302500000.30573.686%
3510000000.02397.682%
4030000000.00299.849%


ECM Summary

B1B2factorcurvesGHz-days
10.051
5000050000002784.502
25000025000000443.739
2500004000000010010.28


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-31Team Prime Ribv4_computers47D173232CF549040.009


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
9767961272058498995258551
8F3F8DAA4EECB87D
2017-09-28Oliver KruseManual testing
9767961272058498995258551
8F3F8DAA4EECB87D
2017-11-08kkmrkkblmbrbkc4.large
9767961272058498995258551
8F3F8DAA4EECB87D
2020-04-19Oliver KruseAddPrpType5
9767961272058498995258551
6D9D64D61FE5A400


CERT results:
No CERT results for M624469


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6199753560 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 40000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
260
259
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.53 ~= 72-bit
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Last modified: 2024-02-29T14:28:04+00:00