is 2 3697 - 1
has 1113 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
Actual2678,037.305382.0896 %1300000000130000000000.139612.5395 %8,037.444984.3354 %
Target2440.000672.7273 %500500000.00000.9260 %0.000672.9798 %
Difference+23+8,037.3046+9.3623 %+1299999500+12999950000+0.1396+11.6135%+8,037.4442+11.3556 %

Known prime factors (4 factors, 285.3 bits, 7.71589230% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3697749790344571136.12610140524
22 × 379 × 6689
-37966892.476e-65.208e-85.558e-8
36975671827421570071549.01176708512599
17 × 4512265447
-1745122654470.02030.01770.0331
369732854375430164370843292271.477444338320667627412
22 × 35 × 13 × 732 × 229 × 28815287
-532928815287129,3150.00010.0002
369753151849954640107153088387458823023573739128.64371885109486935497907882590558321644
22 × 33 × 71 × 13177 × 141356261 × 5032980401213195939
2017-05-0714135626150329804012131959393.473e+1319,758,78236,903,902

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-09-09Jinyuan WangManual testing13000000001300000000012
skipped known factor: 74979034457
skipped known factor: 567182742157007
skipped known factor: 3285437543016437084329
--0.14039.609%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-23H Michaelson1000000001000000000027--0.049


Trial Factoring results:
5758596061626364656667
No TF results for M3697


ECM factoring results:
Total ECM effort:39,020.699 GHz-days
Estimated T-Level:51.314
DigitsB1CompleteFacMiss
20110002,699.2670.000%
25500001,263.7660.000%
30250000395.5450.000%
351000000114.8650.000%
40300000028.5740.000%
45110000006.5390.145%
50440000001.36725.486%
551100000000.26376.891%
602600000000.04795.430%
658000000000.00899.238%
7024000000000.00199.883%


ECM Summary

B1B2factorcurvesGHz-days
3000000300000000180.051
1100000011000000005,90167.30
1100000011000000004555.190
4400000044000000002008.309
1100000001100000000020022.81
26000000060836419944301,88038,917


Lucas-Lehmer results:
No L-L results for M3697


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCF0342595607A7A__
2017-10-02kkmrkkblmbrbkManual testing
74979034457
567182742157007
3285437543016437084329
531518499546401071530883874588230235737
F0342595607A7A14
2017-12-07ATHManual testing
74979034457
567182742157007
3285437543016437084329
531518499546401071530883874588230235737
F0342595607A7A14
2020-04-17Oliver KruseIOS-1
74979034457
567182742157007
3285437543016437084329
531518499546401071530883874588230235737
69D53FB576170552
2024-02-03Wentao HuangManual testing
74979034457
567182742157007
3285437543016437084329
531518499546401071530883874588230235737
69D53FB576170552


CERT results:
No CERT results for M3697


P-1 factor-bounds graph:
B1 = 1300000000, B2 = 13000000000 (P-1 stage 2)
B1 = 1300000000 (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
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=51.31 ~= 154-bit
250
260
270
280
290
2100
2110
2120
2130
2140
2150
2160
JSON version of this page
Last modified: 2024-02-15T12:49:25+00:00