is 2 2541703 - 1
has 765129 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-LE49EC685D0CE6EB9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.690667.1642%30000001350000001.02508.9459%12.715670.1016%2.9375%
PrimeNet2590.030262.7119%110002000000.00212.6836%0.032463.7125%1.0007%
GPU722630.627965.0794%120001800000.00211.4771%0.630165.5952%0.5158%
Difference+4+11.0626+2.0848%+2988000+134820000+1.0229+7.4688%+12.0855+4.5065%+4.5065%

Known prime factors (1 factor, 104.0 bits, 0.00409060% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25417031987691709450484448360744351674332103.9713910157302899836149937157
3 × 23 × 197 × 3163 × 10259 × 622571 × 14239207
2018-09-08622571142392077.575e+100.13720.1457

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--0.884%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.315%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.432%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.619%
2011-04-08T03:44:00James HeinrichWHS3000008000000---0.072--4.385%
2018-08-11T22:21:48Jocelyn Larouchelow 4M60000060000006---0.090--4.469%
2018-09-08T14:16:26mikrMSI30000001350000001232103.9711.0250.3532.0508.946%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
1999-06-06T00:00:00Stephan Gruppv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-27T21:12:00Sturle Sundeginy.ifi260261--0.060--
2012-06-15T11:43:00Sebastian HornbostelManual testing261262--0.121--
2013-01-14T11:53:00dbaughManual testing262263--0.386--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.772--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.470--
2015-11-08T21:03:14ramgeisManual testing265266--2.940--
2017-08-08T13:42:10Gordon SpenceManual testing266267--5.880--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.765 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.765 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.96837.994%
25500000.08791.625%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.765


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00Stephan Gruppv4_computersE49EC685D0CE6EB90.176
1999-06-06T00:00:00Stephan Gruppv4_computersE49EC685D0CE6EB90.176
2018-06-10T00:47:36kkmrkkblmbrbkoldE49EC685D0CE6EB90.176


PRP results:
dateuseridcompidcofactorsres64PRP
2018-09-10T14:46:52_p95holder_TFL7_PRPt11-E_b
19876917094504844483607443516743
F6A72D37468816__no
2018-09-11T00:37:54treborLaptop
19876917094504844483607443516743
F6A72D37468816__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
2110
Last modified: 2018-09-11T00:37:54+00:00