is 2 517289 - 1
has 155720 decimal digits
takes 0.008 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
Actual26757.441671.6418 %200000067331464207.797111.8141 %65.238874.9921 %
Target2440.000056.8182 %900015000000.001914.5812 %0.001963.1146 %
Difference+23+57.4416+14.8236 %+1991000+6731646420+7.7952-2.7671 %+65.2368+11.8774 %

Known prime factors (2 factors, 96.0 bits, 0.01855500% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
51728978752077371032.8757612
22 × 11 × 173
-111731.822e-94.192e-74.734e-7
51728999423138595420811511963.1089610018635175
52 × 7 × 743 × 73909007
2015-04-12743739090075.64440.08520.1590

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing15000005000000012
skipped known factor: 7875207737
---32.825%
2022-12-19USAFSSUSAFSACS20000006733146420
skipped known factor: 7875207737
skipped known factor: 9942313859542081151
--7.96146.141%


Trial Factoring results:
5758596061626364656667
No TF results for M517289


ECM factoring results:
Total ECM effort:16.104 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.016
5000050000002814.505
2500002500000014411.58


Lucas-Lehmer results:
No L-L results for M517289


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-1
7875207737
9942313859542081151
EE0F22AD1C746C0D
2017-09-28Oliver KruseManual testing
7875207737
9942313859542081151
EE0F22AD1C746C0D
2017-11-07kkmrkkblmbrbkc4.xlarge
7875207737
9942313859542081151
EE0F22AD1C746C0D
2020-04-19Oliver KruseAddPrpType5
7875207737
9942313859542081151
661302781BAF2AB9


CERT results:
No CERT results for M517289


P-1 factor-bounds graph:
B1 = 2000000, B2 = 6733146420 (P-1 stage 2)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00