is 2 776429 - 1
has 233729 decimal digits
takes 0.016 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDD68DD503043D496double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26738.270070.1493 %1620000550800000.13136.5499 %38.401272.1045 %
Target2440.000054.5455 %1300025000000.004317.0615 %0.004362.3007 %
Difference+23+38.2700+15.6038 %+1607000+52580000+0.1270-10.5115 %+38.3969+9.8038 %

Known prime factors (1 factor, 79.4 bits, 0.01023129% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7764298192824263822092140129212479.439527596487497381740
22 × 3 × 5 × 2552201 × 3445369229
2014-05-2925522013445369229157,6885.506010.153

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-08-18ANONYMOUSv4_computers10000110000--0.00012.937%
2001-08-18ANONYMOUSv4_computers20000400000--0.00116.972%
2002-05-25ANONYMOUSv4_computers163841638400--0.00320.318%
2002-07-27ANONYMOUSv4_computers32768327680012--0.00623.028%
2002-12-09ANONYMOUSv4_computers65537655370012--0.01225.687%
2003-02-09ANONYMOUSv4_computers204820480012--0.00011.966%
2003-07-21ANONYMOUSv4_computers1310721310720012--0.02428.289%
2011-07-10JossManual testing276742276742--0.00816.309%
2011-08-28JossManual testing461236461236--0.01317.894%
2011-12-17JossManual testing922473922473--0.02720.039%
2012-07-14JossManual testing15528581552858--0.04521.640%
2013-10-28David Campeaui5-2500k16200005508000012--0.13133.977%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-09-29ANONYMOUSv4_computers212550.006
2001-02-25ANONYMOUSv4_computers212560.012
2001-12-22ANONYMOUSv4_computers212570.025
2003-02-09ANONYMOUSv4_computers212580.049
2003-02-27ANONYMOUSv4_computers212590.049
2008-10-14Sturle Sundejaipur.ifi2592600.099
2010-06-22Architects Cubedm1_f22602610.198


ECM factoring results:
Total ECM effort:11.304 GHz-days
Estimated T-Level:25.649
DigitsB1CompleteFacMiss
201100014.5000.000%
25500001.59120.367%
302500000.13087.835%
3510000000.00999.138%


ECM Summary

B1B2factorcurvesGHz-days
10.182
5000050000002736.111
25000025000000445.011


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-26ANONYMOUSv4_computersDD68DD503043D4960.016


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
819282426382209214012921
04428E9786DC171D
2017-10-13Oliver KruseThreadripper-PC
819282426382209214012921
04428E9786DC171D
2017-12-17ATHec2-1xh
819282426382209214012921
04428E9786DC171D
2020-04-21Oliver KruseAddPrpType5
819282426382209214012921
196012473CAEB5C7


CERT results:
No CERT results for M776429


P-1 factor-bounds graph:
B1 = 1620000, B2 = 55080000 (P-1 stage 2)
B1 = 1620000 (P-1 stage 1)
B1 = 1552858 (P-1 stage 1)
B1 = 922473 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 461236 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 276742 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 20000, B2 = 400000 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
B1 = 10000, B2 = 110000 (P-1 stage 2)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
259
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-03T02:29:32+00:00