is 2 669479 - 1
has 201534 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFE52754A6D0D4F14double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26744.383670.1493 %131072131072000.01853.5021 %44.402171.1947 %
Target2440.000054.5455 %1100020000000.002616.0134 %0.002661.8243 %
Difference+23+44.3836+15.6038 %+120072+11107200+0.0158-12.5113 %+44.3995+9.3704 %

Known prime factors (1 factor, 80.9 bits, 0.01208529% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
66947922692498257300166054912892580.9081694787906513883636
22 × 7 × 13 × 59 × 78915436138661
2009-07-275978915436138661481,02694,727176,924

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-04ANONYMOUSv4_computers700002200000--0.00422.491%
2002-05-11ANONYMOUSv4_computers163841638400--0.00220.016%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00522.719%
2002-10-12ANONYMOUSv4_computers65536655360012--0.00925.374%
2003-06-09ANONYMOUSv4_computers1310721310720012--0.01827.973%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-02-01ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.014
2002-01-02ANONYMOUSv4_computers212570.029
2003-10-14ANONYMOUSv4_computers212580.057
2008-10-14Sturle Sundefizir.ifi2582600.172


ECM factoring results:
Total ECM effort:18.851 GHz-days
Estimated T-Level:26.528
DigitsB1CompleteFacMiss
201100024.7310.000%
25500003.1754.179%
302500000.30673.670%
3510000000.02397.681%
4030000000.00299.849%


ECM Summary

B1B2factorcurvesGHz-days
10.029
5000050000002794.716
25000025000000443.760
2500004000000010010.35


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-07-29ANONYMOUSv4_computersFE52754A6D0D4F140.010


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
2269249825730016605491289
913952763CAF2122
2017-10-13Oliver KruseThreadripper-PC
2269249825730016605491289
913952763CAF2122
2017-12-16ATHec2-1xh
2269249825730016605491289
913952763CAF2122
2020-04-20Oliver KruseAddPrpType5
2269249825730016605491289
59F4DF583F99BD35


CERT results:
No CERT results for M669479


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 70000, B2 = 2200000 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.53 ~= 72-bit
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Last modified: 2024-03-13T02:15:48+00:00