is 2 2304691 - 1
has 693782 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-L2F333001C4E0F3CBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.892867.1642%50000005050000003.158210.9723%16.051070.7670%3.6029%
PrimeNet2580.016762.0690%100001900000.00192.9291%0.018663.1800%1.1110%
GPU722620.266664.5161%120002000000.00221.7382%0.268765.1329%0.6168%
Difference+5+12.6262+2.6481%+4988000+504800000+3.1560+9.2341%+15.7823+5.6341%+5.6341%

Known prime factors (1 factor, 74.7 bits, 0.00324053% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2304691303509197016575707366732374.6846584596308498096
24 × 32 × 7 × 29 × 225253020953
2017-08-23292252530209532,837.21,202.22,245.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.284%
2010-02-15T08:09:00Budannan50000010000000---0.100--4.821%
2018-02-18T15:36:11alpertronManual testing5000001500000012---0.126--5.211%
2021-06-10T01:33:22ViliamF35000000505000000---3.158--10.972%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-19T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:11Mark RoseManual testing258260--0.050--
2009-01-15T01:08:00Sturle Sundebach.ifi260261--0.067--
2012-05-12T19:47:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:46:00Jerry HallettManual 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--3.242--
2017-05-31T02:32:33Gordon SpenceManual testing266267--6.485--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.567 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:2.567 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.390
50000500000020.177


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-19T00:00:00ANONYMOUSv4_computers2F333001C4E0F3CB0.156
1999-06-15T00:00:00ANONYMOUSv4_computers2F333001C4E0F3CB0.156


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T13:42:33Oliver KruseGTX-1
30350919701657570736673
2CE4EB53A9CB0D__no
2017-11-22T20:49:57kkmrkkblmbrbkc4.xlarge
30350919701657570736673
2CE4EB53A9CB0D__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: 2021-06-10T01:33:22+00:00