is 2 1557653 - 1
has 468901 decimal digits
takes 0.070 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC6F92EA2C5A5A26Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26719.076168.6567%500000150000000.08354.9710%19.159670.2148%1.5581%
PrimeNet2570.012363.1579%65001100000.00082.4228%0.013164.0505%0.8926%
GPU722610.197265.5738%6500600000.00061.0501%0.197865.9353%0.3615%
Difference+6+18.8789+3.0829%+493500+14940000+0.0829+3.9209%+18.9618+4.2795%+4.2795%

Known prime factors (1 factor, 70.6 bits, 0.00453164% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
155765317737461140215515575772270.587569364972179796
22 × 32 × 13 × 1216591820897
2013-09-29131216591820897228.374,292.98,018.0

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers20000290000---0.002--0.994%
2011-01-27T23:28:00James HeinrichWHS800001360000---0.010--2.208%
2016-03-17T19:16:17alpertronManual testing5000001500000012---0.084--4.971%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-25T00:00:00ANONYMOUSv4_computers21257--0.012--
2003-08-08T00:00:00ANONYMOUSv4_computers21258--0.025--
2010-04-30T12:20:00Architects Cubeda3_bu2260261--0.099--
2010-06-06T18:25:00GrunwalderGIMPManual testing21263--1.025--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.868 GHz-days
Estimated T-Level:24.429
DigitsB1CurvesCompleteFacMiss
2011000248 / 1002.4808.270%
2550000248 / 2800.88641.177%

New Calculation Method

Total ECM effort:13.868 GHz-days
Estimated T-Level:24.429
DigitsB1CompleteFacMiss
20110008.0000.034%
25500000.72348.528%
302500000.04595.645%
3510000000.00299.796%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000024813.87


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-28T00:00:00ANONYMOUSv4_computersEA1FB9420BBE9B__0.070
1999-03-15T00:00:00ANONYMOUSv4_computersC6F92EA2C5A5A26E0.070


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T19:54:25Oliver KruseGTX-1
1773746114021551557577
352DF8A64136A0__no
2017-10-30T22:07:46kkmrkkblmbrbkc4.xlarge
1773746114021551557577
352DF8A64136A0__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1360000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 20000, B2 = 290000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
263
261
258
257
250
260
270
280
290
2100
Last modified: 2019-07-26T09:09:20+00:00