is 2 2304563 - 1
has 693743 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L687C9ED38E437AA3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.893567.1642%50000005050000003.158210.9723%16.051770.7670%3.6028%
PrimeNet2580.016762.0690%100001900000.00192.9291%0.018663.1800%1.1110%
GPU722620.266664.5161%120002000000.00221.7382%0.268865.1329%0.6168%
Difference+5+12.6269+2.6481%+4988000+504800000+3.1560+9.2341%+15.7830+5.6341%+5.6341%

Known prime factors (1 factor, 86.5 bits, 0.00375479% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23045631118329728549782256837615672786.53124263379403161949941
3 × 11 × 23 × 157 × 203615043286607
2016-08-0815720361504328660711,511,7541,086,6712,029,599

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.284%
2010-02-15T08:08:00Budannan50000010000000---0.100--4.821%
2018-02-18T15:36:11alpertronManual testing5000001500000012---0.126--5.211%
2021-06-09T19:46:17ViliamF35000000505000000---3.158--10.972%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-14T22:24:00Sturle Sundebach.ifi260261--0.067--
2012-05-12T19:47:00Sebastian HornbostelManual testing261262--0.133--
2013-01-23T08:24:00dbaughManual testing262263--0.426--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.852--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.621--
2015-10-21T10:28:11ramgeisManual testing265266--3.243--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.124 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.124 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.77446.108%
25500000.07093.242%
302500000.00499.570%


ECM Summary

B1B2factorcurvesGHz-days
500005000000211.859
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers687C9ED38E437AA30.156


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T13:30:27Oliver KruseGTX-2
111832972854978225683761567
5028747D37D98A__no
2017-11-22T20:53:26kkmrkkblmbrbkc4.xlarge
111832972854978225683761567
5028747D37D98A__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-06-09T19:46:17+00:00