is 2 17741627 - 1
has 5340762 decimal digits
takes 10.793 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4E889B3D42C31540double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27253.903465.2778%12500001525219508.37256.7767%62.275967.6308%2.3530%
PrimeNet2650.411261.5385%8000024000000.18214.5573%0.593363.2913%1.7528%
GPU722696.729263.7681%13000034000000.27183.4048%7.001065.0017%1.2336%
Difference+3+47.1742+1.5097%+1120000+149121950+8.1007+3.3720%+55.2748+2.6291%+1.1194%

Known prime factors (1 factor, 123.2 bits, 0.00069448% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
177416271232179432191557857138235916833312936938123.213347256605099283695102550605092
22 × 113 × 127 × 4567 × 6899 × 12713 × 191519 × 78855373
2022-01-14191519788553739.814e+93.94947.0780

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-10T00:00:00ANONYMOUSv4_computers2100003097500---0.324--2.585%
2022-01-14T08:22:50masserManual testing125000015252195038123.2138.37221.5916.746.777%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-02-11T00:00:00Net_Forcev4_computers21258--0.002--
2001-03-11T00:00:00Net_Forcev4_computers21259--0.004--
2001-05-20T00:00:00Net_Forcev4_computers21260--0.009--
2001-09-30T00:00:00ANONYMOUSv4_computers21265--0.411--
2013-09-25T10:47:00David CampeauManual testing265266--0.421--
2014-08-23T13:19:00NesowaManual testing266267--0.842--
2018-03-11T22:56:19ramgeisManual testing267268--1.685--
2018-03-11T22:56:19ramgeisManual testing268269--3.370--
2020-04-12T03:29:29lycornManual testing269270--6.739--
2021-08-30T15:44:03ChuckGPU72_TF270271--13.48--
2021-09-19T23:04:57-Anonymous-Manual testing271272--26.96--


ECM factoring results:
Total ECM effort:0.925 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.925


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-05-26T00:00:00ANONYMOUSv4_computers4E889B3D42C3154010.79
2006-09-11T00:00:00ANONYMOUSv4_computers4E889B3D42C3154010.79


PRP results:
No PRP results for M17741627


P-1 factor-bounds graph:
B1 = 1250000, B2 = 152521950 (P-1 stage 2)
B1 = 1250000 (P-1 stage 1)
B1 = 210000, B2 = 3097500 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-14T14:36:32+00:00