is 2 1786541 - 1
has 537803 decimal digits
takes 0.097 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8F92F1B14A86C258double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.632168.6567%2475400866600000.55557.9677%17.187671.1541%2.4973%
PrimeNet2570.010763.1579%80001400000.00122.8135%0.011964.1944%1.0365%
GPU722610.171965.5738%80001300000.00121.4928%0.173166.0877%0.5139%
Difference+6+16.4602+3.0829%+2467400+86530000+0.5544+6.4749%+17.0145+5.0664%+5.0664%

Known prime factors (1 factor, 93.9 bits, 0.00525336% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1786541178930836439881261204143771932993.8535007745034675421980356
22 × 41 × 246391 × 1889131 × 65601149
2015-06-101889131656011491.841e+90.42170.5251

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-09T06:18:00Carsten Kossendeyleela950001615000---0.014--2.436%
2014-04-10T20:52:00ANONYMOUSManual testing100000100000---0.008--0.891%
2014-05-09T20:32:00Jocelyn LaroucheManual testing135927135927---0.011--1.060%
2014-09-19T20:39:00Jocelyn LaroucheManual testing171854171854---0.014--1.201%
2015-06-10T01:41:00mikrMSI247540086660000122993.8530.5560.1941.1117.968%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.021--
2010-04-20T13:12:00Architects Cubedm1_76l260261--0.086--
2010-10-27T20:37:00GrunwalderGIMPManual testing21263--0.893--
2015-05-14T21:29:00snme2pm1Manual testing263264--1.099--
2015-05-14T21:29:00snme2pm1Manual testing264265--2.091--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.772 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:17.772 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.3230.024%
25500000.75247.133%
302500000.04695.474%
3510000000.00299.788%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025817.77


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02T00:00:00ANONYMOUSv4_computers8F92F1B14A86C2580.097


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T15:19:47Oliver KruseGTX-3
17893083643988126120414377193
A8F5F8523A9C94__no
2017-11-05T05:32:22kkmrkkblmbrbkold
17893083643988126120414377193
A8F5F8523A9C94__no


P-1 factor-bounds graph:
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 171854 (P-1 stage 1)
B1 = 135927 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
267
265
264
263
261
258
250
260
270
280
290
2100
Last modified: 2020-11-06T10:16:10+00:00