is 2 877567 - 1
has 264174 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L29D73F01924A87C1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26733.859470.1493 %131072131072000.02953.6379 %33.888971.2352 %
Target2440.000054.5455 %1500030000000.006217.9378 %0.006262.6990 %
Difference+23+33.8594+15.6038 %+116072+10107200+0.0232-14.2999 %+33.8826+8.5362 %

Known prime factors (1 factor, 83.4 bits, 0.00950473% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
877567128535963683134421873545992683.4107323427366977929997
3 × 577 × 4230749489877487
2013-04-3057742307494898774872,232,2338,105,05815,137,992

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.095%
2002-02-17ANONYMOUSv4_computers4096409600--0.00115.015%
2002-04-14ANONYMOUSv4_computers8192819200--0.00217.810%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.569%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00723.284%
2002-12-25ANONYMOUSv4_computers65537655370012--0.01525.947%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.552%
2011-02-22JossManual testing200000200000--0.00715.498%
2011-07-12JossManual testing236115236115--0.00816.014%
2011-09-05JossManual testing393525393525--0.01417.604%
2012-01-27JossManual testing787050787050--0.02819.756%
2012-04-16JossManual testing11805761180576--0.04221.009%
2012-09-21JossManual testing17551341755134--0.06222.226%
2012-10-25JossManual testing19119111911911--0.06722.488%
2016-03-17alpertronManual testing3000001000000012---28.424%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-31ANONYMOUSv4_computers212550.005
2000-12-21ANONYMOUSv4_computers212560.011
2001-12-08ANONYMOUSv4_computers212570.022
2003-09-09ANONYMOUSv4_computers212580.044
2022-03-07LordJuliusManual testing258259
2004-06-12Sturle Sundev4_computers212600.088
2010-05-29Architects Cubedm1_tt2602610.175


ECM factoring results:
Total ECM effort:13.908 GHz-days
Estimated T-Level:25.654
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.084
5000050000002787.662
25000025000000446.162


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computers29D73F01924A87C10.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
12853596368313442187354599
11716A0BE9E56010
2017-10-14Oliver KruseGTX-0
12853596368313442187354599
11716A0BE9E56010
2017-12-19ATHec2-1xh
12853596368313442187354599
11716A0BE9E56010
2020-04-22Oliver KruseAddPrpType5
12853596368313442187354599
36C2D3DF7F4FC46E


CERT results:
No CERT results for M877567


P-1 factor-bounds graph:
B1 = 1911911 (P-1 stage 1)
B1 = 1755134 (P-1 stage 1)
B1 = 1180576 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 787050 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 393525 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 236115 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
261
260
259
258
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255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
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Last modified: 2024-02-29T14:28:04+00:00