is 2 27917 - 1
has 8404 decimal digits
takes 0.000 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
Actual2671,064.366477.6119 %300000000092558456681691040,279.849331.8608 %41,344.215884.7450 %
Target2440.000165.9091 %500500000.00001.7217 %0.000166.4960 %
Difference+23+1,064.3663+11.7028 %+2999999500+925584566766910+40,279.8493+30.1391%+41,344.2157+18.2489 %

Known prime factors (2 factors, 107.0 bits, 0.38310423% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27917223337617.7694
22
-446.260e-133.195e-96.502e-9
279177023615495536612210426011512789.18212579459640248974120475
3 × 52 × 39439 × 31678589 × 134248363
2009-05-10316785891342483634.622e+90.02980.0515

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-12-21kkmrkkblmbrbkManual testing5000000001000000000012
skipped known factor: 223337
skipped known factor: 702361549553661221042601151
---42.797%
2022-12-30nordisweet16_30.9b330000000003000000000
skipped known factor: 223337
skipped known factor: 702361549553661221042601151
--2.39636.651%
2023-03-21nordisweet16_30.8b143000000000925584566816910
skipped known factor: 223337
skipped known factor: 702361549553661221042601151
--52,20370.870%


Trial Factoring results:
5758596061626364656667
No TF results for M27917


ECM factoring results:
Total ECM effort:22.781 GHz-days
Estimated T-Level:35.691
DigitsB1CompleteFacMiss
2011000182.2450.000%
255000041.1790.000%
302500007.3530.064%
3510000001.09733.392%
4030000000.13887.091%
45110000000.01598.483%
50440000000.00199.854%


ECM Summary

B1B2factorcurvesGHz-days
10.039
5000050000001740.091
2000002000000010.002
250000250000005901.689
1000000100000000110.126
300000030000000050017.24
30000003390000001003.594


Lucas-Lehmer results:
No L-L results for M27917


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
223337
702361549553661221042601151
41F7E334570F0709
2017-09-21Oliver KruseManual testing
223337
702361549553661221042601151
41F7E334570F0709
2017-10-12kkmrkkblmbrbkManual testing
223337
702361549553661221042601151
41F7E334570F0709
2020-04-17Oliver KruseManual testing
223337
702361549553661221042601151
30FEA08BA113EE04


CERT results:
No CERT results for M27917


P-1 factor-bounds graph:
B1 = 3000000000, B2 = 925584566816910 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
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108
109
1010
100
101
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103
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107
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109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.69 ~= 102-bit
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Last modified: 2024-03-13T02:15:48+00:00