is 2 2272631 - 1
has 684131 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCD4ECB6181E64BC3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.074767.1642%500000150000000.12305.2023%13.197768.8724%1.7082%
PrimeNet2580.016962.0690%100001900000.00192.9216%0.018863.1771%1.1082%
GPU722620.270364.5161%120001900000.00211.7081%0.272465.1222%0.6061%
Difference+5+12.8043+2.6481%+488000+14810000+0.1209+3.4942%+12.9253+3.7502%+3.7502%

Known prime factors (1 factor, 66.8 bits, 0.00293764% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22726311251016009113382859032166.76227523518096721
67 × 241 × 1704559243
2010-01-0224117045592439.8318.853916.537

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.283%
2016-04-30T03:27:09alpertronManual testing5000001500000012---0.123--5.202%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-10T16:53:00Sturle Sundegraun.ifi260261--0.068--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.960 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:0.960 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.40766.561%
25500000.03896.280%
302500000.00299.760%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.258
50000700000070.702


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersEE32741F9DF602__0.149
1999-07-27T00:00:00Stephen Woodv4_computersCD4ECB6181E64BC30.149
1999-10-15T00:00:00ANONYMOUSv4_computersEE32741F9DF602__0.149


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T02:53:51Oliver KruseGTX-1
125101600911338285903
AE93299848B1D7__no
2017-11-21T19:39:15storm5510HP-Z220-CMT
125101600911338285903
AE93299848B1D7__no


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)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
261
250
260
270
280
290
2100
Last modified: 2022-08-01T06:58:59+00:00