is 2 27487 - 1
has 8275 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
Actual2671,081.017177.6119 %5000000000151693027063578054,262.856833.0029 %55,343.874085.0007 %
Target2440.000165.9091 %500500000.00001.7139 %0.000166.4934 %
Difference+23+1,081.0170+11.7028 %+4999999500+1516930270585780+54,262.8568+31.2890%+55,343.8739+18.5073 %

Known prime factors (2 factors, 123.7 bits, 0.45011765% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2748716055156711030.58029205
32 × 5 × 11 × 59
-11596.877e-98.939e-91.470e-8
27487109388609673632892806586532012993.143198982445653641526551800
23 × 52 × 14347 × 38011 × 1824376104127
2014-11-113801118243761041279.320e+1065.257121.88

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-12-21kkmrkkblmbrbkManual testing5000000001000000000012
skipped known factor: 1605515671
---42.771%
2022-10-24nordisweet16_ccx250000000005000000000
skipped known factor: 1605515671
--3.28337.747%
2023-03-17nordisweet16_30.8b1450000000001516930270635780
skipped known factor: 1605515671
skipped known factor: 10938860967363289280658653201
--85,55671.956%


Trial Factoring results:
5758596061626364656667
No TF results for M27487


ECM factoring results:
Total ECM effort:23.019 GHz-days
Estimated T-Level:35.857
DigitsB1CompleteFacMiss
2011000213.4060.000%
255000048.9850.000%
302500008.9900.012%
3510000001.35125.885%
4030000000.17184.249%
45110000000.01998.115%
50440000000.00299.818%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001640.071
2000002000000010.002
250000250000006071.425
100000010000000010.009
1000000100000000100.094
300000030000000050014.17
30000003210000002507.247


Lucas-Lehmer results:
No L-L results for M27487


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
1605515671
10938860967363289280658653201
437C80EC50AA957A
2017-09-21Oliver KruseManual testing
1605515671
10938860967363289280658653201
437C80EC50AA957A
2017-10-02kkmrkkblmbrbkManual testing
1605515671
10938860967363289280658653201
437C80EC50AA957A
2017-12-07ATHxps
1605515671
10938860967363289280658653201
437C80EC50AA957A
2020-04-17Oliver KruseManual testing
1605515671
10938860967363289280658653201
DEDD6F2DDC8B4975


CERT results:
No CERT results for M27487


P-1 factor-bounds graph:
B1 = 5000000000, B2 = 1516930270635780 (P-1 stage 2)
B1 = 5000000000 (P-1 stage 1)
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
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1010
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1010
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1016
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.86 ~= 103-bit
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Last modified: 2024-03-13T02:15:48+00:00