is 2 876607 - 1
has 263886 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-L515B8272847363E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26733.896570.1493 %131072131072000.02953.6374 %33.926071.2350 %
Target2440.000054.5455 %1400027500000.005717.6283 %0.005762.5583 %
Difference+23+33.8965+15.6038 %+117072+10357200+0.0237-13.9909 %+33.9202+8.6767 %

Known prime factors (1 factor, 73.6 bits, 0.00839495% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
876607142236368373852185298892373.5918112892571805392
24 × 7 × 43 × 7459 × 225844043
2014-07-1374592258440432,182.10.43290.8081

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.093%
2002-02-17ANONYMOUSv4_computers4096409600--0.00115.013%
2002-04-14ANONYMOUSv4_computers8192819200--0.00217.808%
2002-05-25ANONYMOUSv4_computers163841638400--0.00420.567%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00723.282%
2002-12-25ANONYMOUSv4_computers65537655370012--0.01525.945%
2003-08-25ANONYMOUSv4_computers1310721310720012--0.02928.549%
2011-02-22JossManual testing200000200000--0.00715.496%
2011-07-12JossManual testing236450236450--0.00816.017%
2011-09-05JossManual testing394084394084--0.01417.606%
2012-01-27JossManual testing788168788168--0.02819.759%
2012-03-29JossManual testing11822521182252--0.04221.011%
2012-09-21JossManual testing17532141753214--0.06222.221%
2012-10-25JossManual testing19148431914843--0.06722.490%
2016-03-17alpertronManual testing3000001000000012---28.421%


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
2010-05-21Architects Cubeda3_s22602610.175


ECM factoring results:
Total ECM effort:13.907 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002807.717
25000025000000446.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28ANONYMOUSv4_computers515B8272847363E90.021


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
14223636837385218529889
4485824DCA85C1A2
2017-10-14Oliver KruseThreadripper-PC
14223636837385218529889
4485824DCA85C1A2
2017-12-19ATHec2-1xh
14223636837385218529889
4485824DCA85C1A2
2020-04-22Oliver KruseAddPrpType5
14223636837385218529889
54EAC6FFF3476C6F


CERT results:
No CERT results for M876607


P-1 factor-bounds graph:
B1 = 1914843 (P-1 stage 1)
B1 = 1753214 (P-1 stage 1)
B1 = 1182252 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 788168 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 394084 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 236450 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
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280
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Last modified: 2024-03-03T02:29:32+00:00