is 2 2916691 - 1
has 878012 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.187567.1642 %3600002826954901.76308.0112 %11.950669.7947 %
Target2630.547265.0794 %1600015000000.01081.9111 %0.558065.7467 %
Difference+4+9.6403+2.0848 %+344000+281195490+1.7522+6.1001%+11.3925+4.0480 %

Known prime factors (3 factors, 179.0 bits, 0.00613836% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2916691560004673929.06196
25 × 3
-32322.452e-113.584e-67.294e-6
2916691164676497420675265462072373.8022823002118165333
3 × 132 × 19 × 37 × 283 × 27987331
2023-02-0428327987331655.830.17080.3189
2916691852526918793201361258472376.17414614625251581353
59 × 907 × 30713 × 8892137
2018-05-313071388921375,247.00.05750.1013

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2023-02-04USAFSSUSAFSACS36000028269549022373.8022.05611.298%


Trial Factoring results:
5758596061626364656667
No TF results for M2916691


ECM factoring results:
Total ECM effort:0.420 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.315
50000500000010.105


Lucas-Lehmer results:
No L-L results for M2916691


PRP results:
dateuseridcompidcofactorsres64
2017-10-24Oliver KruseGTX-2
560004673
5EA6E8A48DDE6823
2017-12-08kkmrkkblmbrbkc4.xlarge
560004673
5EA6E8A48DDE6823
2018-06-01axnL
560004673
85252691879320136125847
5EA6E8A48DDE6823
2023-02-05LordJuliusWhitebox
560004673
16467649742067526546207
85252691879320136125847
5EA6E8A48DDE6823


CERT results:
dateuseridcompid
2023-02-05curtischum110--07l


P-1 factor-bounds graph:
B1 = 360000, B2 = 282695490 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
280
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Last modified: 2024-03-03T02:29:32+00:00