is 2 17657 - 1
has 5316 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
Actual2671,682.840777.6119%600000000017613225783603450409,319.109335.8610%411,001.950085.6405%
Target2440.000165.9091%500100000.00001.5022%0.000166.4212%
Difference+23+1,682.8405+11.7028%+5999999500+17613225783593450+409,319.1093+34.3588%+411,001.9499+19.2193%

Known prime factors (5 factors, 199.6 bits, 1.13051214% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
17657105943616.6933
3
-134.948e-134.730e-108.681e-10
17657423769618.69312
22 × 3
2008-08-26441.983e-121.706e-93.472e-9
1765755513609825.7261572
22 × 3 × 131
2008-08-2641313.393e-104.658e-95.867e-9
17657182784910871134.089517599
32 × 172 × 199
2008-08-262892891.341e-71.233e-72.509e-7
176572700346845462137292308771395250332104.413764667510183535507818081043
7 × 11 × 71 × 131 × 1067707438501286005859
2017-11-1313110677074385012860058591.085e+132.481e+104.634e+10

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 105943
skipped known factor: 423769
skipped known factor: 55513609
skipped known factor: 18278491087
--0.171--7.990%
2023-05-20JacobZGreatLakes600000000017613225783603450-
skipped known factor: 105943
skipped known factor: 423769
skipped known factor: 55513609
skipped known factor: 18278491087
--409,319--35.861%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??34.089114.46089e-90.0001.23065e-7
2008-08-26ANONYMOUSManual testing??18.69365.13719e-150.0001.41979e-13
2008-08-26ANONYMOUSManual testing??25.72688.61405e-110.0002.38069e-9


ECM factoring results:
Total ECM effort:22.238 GHz-days
Estimated T-Level:36.246
DigitsB1CompleteFacMiss
2011000423.7030.000%
255000091.1860.000%
3025000015.4210.000%
3510000002.14111.751%
4030000000.24977.935%
45110000000.02597.503%
50440000000.00299.775%


ECM Summary

B1B2factorcurvesGHz-days
500005000000680.021
250000250000004670.717
10000001000000003362.062
10000001000000001,1156.844
300000030000000068412.59


Lucas-Lehmer results:
No L-L results for M17657


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
105943
423769
55513609
18278491087
CF77C704E4CB84__no
2017-09-21Oliver KruseManual testing
105943
423769
55513609
18278491087
CF77C704E4CB84__no
2017-10-12kkmrkkblmbrbkManual testing
105943
423769
55513609
18278491087
CF77C704E4CB84__no
2017-11-14Oliver KruseGTX-1
105943
423769
55513609
18278491087
27003468454621372923087713952503
2CD01821D1ED47__no
2017-11-14kkmrkkblmbrbkc4.xlarge
105943
423769
55513609
18278491087
27003468454621372923087713952503
2CD01821D1ED47__no


P-1 factor-bounds graph:
B1 = 6000000000, B2 = 17613225783603450 (P-1 stage 2)
B1 = 6000000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
100
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103
104
105
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107
108
109
1010
100
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109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=36.25 ~= 104-bit
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2110
Last modified: 2023-05-20T14:29:01+00:00