is 2 2532853 - 1
has 762465 decimal digits
takes 0.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0C22C09BC51009B6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.731467.1642%30000002730000001.78129.8619%13.512670.4024%3.2382%
PrimeNet2590.030362.7119%110001900000.00212.6454%0.032463.6983%0.9864%
GPU722630.630165.0794%110001800000.00201.4353%0.632265.5806%0.5012%
Difference+4+11.1013+2.0848%+2989000+272820000+1.7792+8.4266%+12.8804+4.8218%+4.8218%

Known prime factors (1 factor, 67.4 bits, 0.00266179% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25328531973225924648772142072167.41938952634137251
38952634137251
2015-08-0413895263413725115.438213,442398,650

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.292%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.883%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.315%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.432%
2011-01-06T23:25:00Jocelyn LaroucheManual testing5000050000---0.005--0.619%
2011-03-23T07:28:00James HeinrichWHS3000008000000---0.072--4.383%
2019-07-04T12:39:55alpertronManual testing20000006000000012---0.519--7.657%
2021-09-27T21:05:25Dylan Delgadolaptop-i787503000000273000000---1.781--9.862%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-16T00:00:00ANONYMOUSv4_computers21259--0.030--
2022-03-11T02:04:57LordJuliusManual testing21260--0.061--
2009-04-09T23:40:00Rob_Deetwopc260261--0.061--
2012-06-14T13:43:00Sebastian HornbostelManual testing261262--0.121--
2013-01-14T11:53:00dbaughManual testing262263--0.388--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.775--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.475--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.290 GHz-days
Estimated T-Level:0.700
DigitsB1CurvesCompleteFacMiss
201100014 / 1000.14086.875%
255000014 / 2800.05095.114%

New Calculation Method

Total ECM effort:1.290 GHz-days
Estimated T-Level:0.700
DigitsB1CompleteFacMiss
20110000.45263.660%
25500000.04196.001%
302500000.00399.749%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.105
50000500000020.184


Lucas-Lehmer results:
No L-L results for M2532853


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-15T22:01:35kkmrkkblmbrbkc4.xlarge
197322592464877214207
28EA5978B61EDD__no
2017-11-08T21:16:36Oliver KruseGTX-3
197322592464877214207
28EA5978B61EDD__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 273000000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-11T02:04:57+00:00