is 2 2137697 - 1
has 643511 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0C46188FF6E46EAEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.900067.1642%500000150000000.12305.1642%14.023068.8599%1.6957%
PrimeNet2580.018062.0690%90001700000.00172.7308%0.019763.1048%1.0358%
GPU722620.287464.5161%100001500000.00171.4872%0.289165.0438%0.5277%
Difference+5+13.6126+2.6481%+490000+14850000+0.1213+3.6770%+13.7339+3.8160%+3.8160%

Known prime factors (2 factors, 134.5 bits, 0.00629281% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213769711366658408916579131959.980265862243548
22 × 11 × 34213 × 176609
-342131766090.04170.00400.0066
2137697274981392705452238614392374.5426431720508225727
11 × 13 × 67 × 33757 × 19886231
2022-01-2033757198862313,140.60.10630.1929

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21376973125619559691020761180830122416849991680741134.521
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2016-03-26T11:55:00alpertronManual testing5000001500000012-
skipped known factor: 1136665840891657913
--0.123--5.164%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.365 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.365 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.49960.687%
25500000.04595.554%
302500000.00399.720%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.512
50000500000020.171
50000675000070.683


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers0C46188FF6E46EAE0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T17:19:56Oliver KruseGTX-1
1136665840891657913
5C676B4FA1E10C__no
2017-11-18T06:28:53kkmrkkblmbrbkc4.xlarge
1136665840891657913
5C676B4FA1E10C__no
2022-01-20T19:33:25SRJ2877LTOS
1136665840891657913
27498139270545223861439
ECEE44A1DEB6B26Cno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
267
258
250
260
270
280
290
2100
Last modified: 2022-03-02T00:27:28+00:00