is 2 1531333 - 1
has 460978 decimal digits
takes 0.068 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD22B6E29E9708B49double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26719.404068.6567%100000002000000001.31819.7136%20.722171.7013%3.0446%
PrimeNet2570.012563.1579%65001100000.00082.4147%0.013364.0475%0.8896%
GPU722610.200665.5738%6500550000.00061.0144%0.201265.9230%0.3492%
Difference+6+19.2034+3.0829%+9993500+199945000+1.3175+8.6992%+20.5209+5.7783%+5.7783%

Known prime factors (1 factor, 72.8 bits, 0.00475623% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
153133384167714740108997740872272.8342748184579712871
32 × 13 × 3559 × 6599819357
2015-12-11355965998193571,247.923.28943.497

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers20000285000---0.002--0.986%
2011-01-31T13:40:00James HeinrichWHS800001340000---0.010--2.194%
2013-10-07T16:37:00David Campeaui5-2500k94500027405000---0.155--5.940%
2015-03-25T10:09:00VictordeHollanderManual testing10000000200000000---1.318--9.714%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-18T00:00:00Ethan O'Connorv4_computers21257--0.013--
2003-08-08T00:00:00ANONYMOUSv4_computers21258--0.025--
2010-04-29T20:40:00Architects Cubedm1_fw260261--0.100--
2010-09-26T01:51:00GrunwalderGIMPManual testing21263--1.042--
2015-02-05T03:57:00snme2pm1Manual testing263264--1.282--
2015-02-05T03:57:00snme2pm1Manual testing264265--2.440--
2015-10-08T14:00:00omylistManual testing265266--4.880--


ECM factoring results:

Old Calculation Method

Total ECM effort:31.205 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:31.205 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.39024.916%
302500000.11689.004%
3510000000.00899.198%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024813.84
50000500000030.167
250000400000005017.19


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-25T00:00:00Ethan O'Connorv4_computersD22B6E29E9708B490.068
2015-06-29T14:43:00MadPooManual testingD22B6E29E9708B490.068


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:30:55alpertronManual testing
8416771474010899774087
8D5235AD6718FE__no
2017-10-18T08:20:14Oliver KruseThreadripper
8416771474010899774087
8D5235AD6718FE__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 945000, B2 = 27405000 (P-1 stage 2)
B1 = 945000 (P-1 stage 1)
B1 = 80000, B2 = 1340000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 20000, B2 = 285000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
263
261
258
257
250
260
270
280
290
2100
Last modified: 2022-04-28T10:15:56+00:00