is 2 2657 - 1
has 800 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
Actual26711,183.258482.0896 %50000000040630046156709.408620.0492 %11,192.667085.6805 %
Target2440.000972.7273 %500500000.00000.8333 %0.000972.9545 %
Difference+23+11,183.2575+9.3623 %+499999500+4063004565670+9.4086+19.2160%+11,192.6661+12.7259 %

Known prime factors (8 factors, 384.5 bits, 14.47071004% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
265737199515.1837
7
-171.645e-125.628e-118.632e-11
2657148793617.18328
22 × 7
-476.611e-121.766e-103.453e-10
2657318841618.28260
22 × 3 × 5
-451.331e-111.720e-103.453e-10
265748349037623911342.137909842635
5 × 13 × 17 × 71 × 11597
-71115970.00042.964e-85.006e-8
26573872825114757531548.46072879659668
22 × 17 × 1071759701
-1710717597010.01570.00250.0046
265724115511686139271651.099453810908659
139 × 337 × 9687913
-33796879130.15882.240e-54.181e-5
2657770280638577602631756.09614495307462883
13 × 59 × 991 × 2851 × 6689
-285166896.69631.298e-72.461e-7
26578994982896394635556670689903547872180584141136.04616926953135857424833779996054851095560
23 × 33 × 5 × 72 × 18539 × 777062017 × 22203271567496006261
-777062017222032715674960062615.051e+1351,306,21095,825,712

247 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-08-12H Michaelson10000001000000145148.8814.24125e-511.929%
2021-08-12H Michaelson1000000010000000161199.9800.00018.213%
2021-09-01Jinyuan WangManual testing1300000000650000000012
skipped known factor: 37199
skipped known factor: 148793
skipped known factor: 318841
skipped known factor: 4834903762391
skipped known factor: 387282511475753
skipped known factor: 2411551168613927
skipped known factor: 77028063857760263
--0.06736.812%
2022-03-19PrimeNR5000000004063004615670
skipped known factor: 37199
skipped known factor: 148793
skipped known factor: 318841
skipped known factor: 4834903762391
skipped known factor: 387282511475753
skipped known factor: 2411551168613927
skipped known factor: 77028063857760263
--13.2754.268%


Trial Factoring results:
5758596061626364656667
No TF results for M2657


ECM factoring results:
Total ECM effort:30,803.977 GHz-days
Estimated T-Level:53.253
DigitsB1CompleteFacMiss
201100017,996.5000.000%
25500005,674.7710.000%
302500001,818.5600.000%
351000000471.0440.000%
403000000106.3680.000%
451100000021.5090.000%
50440000003.9271.969%
551100000000.65152.171%
602600000000.10090.473%
658000000000.01498.608%


ECM Summary

B1B2factorcurvesGHz-days
10000000100000000000014,00127,852
1100000011000000005,95239.72
5000000150000001001003.052
5000000250000002001003.052
500000035000000300993.021
500000045000000400962.929
100000001100000001001036.286
1000000021000000020033620.51
1000000031000000030023614.40
10000000410000000400362.197
2000000002000000000022,8662,791
1000000000100000000015865.38
various10.0000


Lucas-Lehmer results:
No L-L results for M2657


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC4EB5D8F803DEBC__
2017-10-02kkmrkkblmbrbkManual testing
37199
148793
318841
4834903762391
387282511475753
2411551168613927
77028063857760263
89949828963946355566706899035478721805841
4EB5D8F803DEBC86
2017-12-07ATHManual testing
37199
148793
318841
4834903762391
387282511475753
2411551168613927
77028063857760263
89949828963946355566706899035478721805841
4EB5D8F803DEBC86
2020-04-17Oliver KruseIOS-1
37199
148793
318841
4834903762391
387282511475753
2411551168613927
77028063857760263
89949828963946355566706899035478721805841
7DD26CA536E04AA0
2021-08-12mikrNitron
37199
148793
318841
4834903762391
387282511475753
2411551168613927
77028063857760263
89949828963946355566706899035478721805841
7DD26CA536E04AA0


CERT results:
No CERT results for M2657


P-1 factor-bounds graph:
B1 = 500000000, B2 = 4063004615670 (P-1 stage 2)
B1 = 1300000000, B2 = 6500000000 (P-1 stage 2)
B1 = 1300000000 (P-1 stage 1)
B1 = 500000000 (P-1 stage 1)
B1 = 10000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=53.25 ~= 160-bit
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
2170
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Last modified: 2024-03-13T02:15:48+00:00