is 2 2570459 - 1
has 773786 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBBC4D8D3AB5E7FF8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.559867.1642%17500041125000.03923.5405%11.598968.3267%1.1625%
PrimeNet2590.029962.7119%110002000000.00212.6892%0.032063.7146%1.0028%
GPU722630.620965.0794%120001900000.00221.5042%0.623165.6046%0.5253%
Difference+4+10.9389+2.0848%+163000+3922500+0.0370+2.0363%+10.9759+2.7221%+2.7221%

Known prime factors (1 factor, 71.4 bits, 0.00277640% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
257045930437533783603660731192271.366592064175767901
3 × 34729 × 5682706823
2015-12-18347295682706823256.9131.14258.158

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.293%
2003-11-08T00:00:00Team Prime Ribv4_computers15000202500---0.003--0.891%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.316%
2011-01-03T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.433%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.621%
2011-04-16T04:19:00James HeinrichWHS1750004112500---0.039--3.540%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-30T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-30T04:31:00Sturle Sundehindemith.ifi260261--0.060--
2012-06-18T19:43:00Sebastian HornbostelManual testing261262--0.120--
2013-10-09T23:28:00lycornsnail262263--0.382--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.764--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.454--
2015-11-08T21:03:04ramgeisManual testing265266--2.907--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.662 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:1.662 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.69250.042%
25500000.06493.795%
302500000.00499.597%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.385
50000500000030.277


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersBBC4D8D3AB5E7FF80.178
1999-09-22T00:00:00RonnyKarlv4_computersBBC4D8D3AB5E7FF80.178


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:31:06alpertronManual testing
3043753378360366073119
1BBC1213FA8F55__no
2017-11-11T10:03:03Oliver KruseGTX-1
3043753378360366073119
1BBC1213FA8F55__no


P-1 factor-bounds graph:
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 202500 (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
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: 2017-11-11T10:03:03+00:00