is 2 2301023 - 1
has 692677 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE242DC4486D77CAAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.913467.1642%50000005050000003.158210.9708%16.071670.7665%3.6024%
PrimeNet2580.016762.0690%100001900000.00192.9282%0.018663.1797%1.1107%
GPU722620.267064.5161%120002000000.00221.7377%0.269265.1327%0.6166%
Difference+5+12.6464+2.6481%+4988000+504800000+3.1560+9.2331%+15.8024+5.6338%+5.6338%

Known prime factors (1 factor, 62.3 bits, 0.00270627% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
230102355677395332707974171962.2721209840043596
22 × 3 × 17 × 2243 × 2644043
2010-01-09224326440430.39770.01430.0264

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-25T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.284%
2018-02-15T19:16:58alpertronManual testing5000001500000012-
skipped known factor: 5567739533270797417
--0.126--5.210%
2021-04-05T06:27:47ViliamF35000000505000000-
skipped known factor: 5567739533270797417
--3.158--10.971%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-27T09:08:47Dylan Delgadolaptop-ryzen73700200000014600000027--1.023


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-14T22:18:00Sturle Sundegoose.ifi260261--0.067--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.265 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.265 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.265


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersE242DC4486D77CAA0.155


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-13T05:04:22kkmrkkblmbrbkc4.xlargeB5953AAA6AF6E5__no
2017-10-30T14:42:49Oliver KruseGTX-1
5567739533270797417
B5953AAA6AF6E5__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
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
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
250
260
270
280
290
2100
Last modified: 2021-04-27T09:08:47+00:00