is 2 2531773 - 1
has 762140 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-L398D947A6D4F8AB0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.736467.1642%30000003000000001.92919.9844%13.665570.4426%3.2785%
PrimeNet2590.030362.7119%110001900000.00212.6452%0.032463.6982%0.9863%
GPU722630.630465.0794%110001800000.00201.4352%0.632465.5805%0.5012%
Difference+4+11.1060+2.0848%+2989000+299820000+1.9271+8.5492%+13.0331+4.8621%+4.8621%

Known prime factors (1 factor, 70.0 bits, 0.00276341% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
253177311510048773388881105432269.963227312021523827
91423 × 2486376749
2017-09-2291423248637674974.00813.63325.446

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.292%
2003-10-31T00:00:00Team Prime Ribv4_computers15000236250---0.003--0.932%
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%
2011-03-21T21:19:00James HeinrichWHS3000008000000---0.072--4.383%
2019-07-04T12:39:50alpertronManual testing20000006000000012---0.519--7.657%
2021-09-24T05:25:10Dylan Delgadolaptop-i787503000000300000000---1.929--9.984%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00Stephen Woodv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-04-01T20:48:00Rob_Deetwopc260261--0.061--
2012-06-14T12:43:00Sebastian HornbostelManual testing261262--0.121--
2013-01-23T08:30:00dbaughManual testing262263--0.388--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.775--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.476--
2015-11-08T21:03:10ramgeisManual testing265266--2.952--
2017-08-08T13:42:08Gordon SpenceManual testing266267--5.903--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.303 GHz-days
Estimated T-Level:1.250
DigitsB1CurvesCompleteFacMiss
201100025 / 1000.25077.782%
255000025 / 2800.08991.444%

New Calculation Method

Total ECM effort:2.303 GHz-days
Estimated T-Level:1.250
DigitsB1CompleteFacMiss
20110000.80644.644%
25500000.07392.971%
302500000.00499.552%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.211
50000500000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00Stephen Woodv4_computers398D947A6D4F8AB00.176


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-14T16:19:54Oliver KruseGTX-2E95FED665C61AA__no
2017-10-15T17:17:06YarBerManual testing
1151004877338888110543
no
2017-12-01T10:26:06kkmrkkblmbrbkc4.xlarge
1151004877338888110543
E95FED665C61AA__no
2017-12-05T00:00:02kkmrkkblmbrbkc4.xlarge
1151004877338888110543
D376527BBC3A32__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 300000000 (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 = 236250 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2021-09-24T05:25:10+00:00