is 2 2713453 - 1
has 816831 decimal digits
takes 0.210 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA43F6DB9C601813Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.950667.1642%2700000840000000.79848.3180%11.749069.8955%2.7313%
PrimeNet2590.028362.7119%120002200000.00262.8456%0.030963.7729%1.0611%
GPU722630.588265.0794%140002200000.00281.6629%0.591065.6601%0.5807%
Difference+4+10.3624+2.0848%+2686000+83780000+0.7956+6.6552%+11.1580+4.2354%+4.2354%

Known prime factors (1 factor, 72.3 bits, 0.00266605% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
271345359853404459747061458412272.3421102901072171640
23 × 3 × 5 × 72 × 37 × 5069411069
2017-07-15495069411069608.8130.93257.772

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.298%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.921%
2010-12-19T21:41:00Jocelyn LaroucheManual testing2000020000---0.002--0.320%
2010-12-26T20:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.439%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.006--0.628%
2011-04-21T13:17:00James HeinrichWHS1850004578750---0.048--3.681%
2016-09-18T15:37:54mikrMSI27000008400000012---0.798--8.318%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-27T00:25:00Sturle Sundegimba.ifi260261--0.057--
2012-04-23T17:25:00Grant McCrackenthumper261262--0.113--
2013-01-14T12:26:00dbaughManual testing262263--0.362--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.724--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.377--
2016-01-30T15:58:42ramgeisManual testing265266--2.754--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.281 GHz-days
Estimated T-Level:1.100
DigitsB1CurvesCompleteFacMiss
201100022 / 1000.22080.163%
255000022 / 2800.07992.431%

New Calculation Method

Total ECM effort:2.281 GHz-days
Estimated T-Level:1.100
DigitsB1CompleteFacMiss
20110000.71049.180%
25500000.06493.787%
302500000.00499.606%


ECM Summary

B1B2factorcurvesGHz-days
500005000000212.177
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersA43F6DB9C601813F0.210


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:41alpertronManual testing
5985340445974706145841
6812827CB0D787__no
2017-11-15T09:52:03Oliver KruseGTX-0
5985340445974706145841
6812827CB0D787__no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4578750 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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
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104
105
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1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-11-15T09:52:03+00:00