is 2 2371709 - 1
has 713956 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4B99C14446044745double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.131667.6471%30000001000000000.81157.8376%25.943270.1828%2.5357%
PrimeNet2590.032462.7119%100001700000.00182.4741%0.034263.6344%0.9225%
GPU722630.672965.0794%100001400000.00171.2717%0.674665.5235%0.4441%
Difference+5+24.4587+2.5677%+2990000+99860000+0.8099+6.5659%+25.2685+4.6593%+4.6593%

Known prime factors (1 factor, 74.6 bits, 0.00314540% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2371709286254127581629493230332374.6006034764964454524
22 × 1508691241113631
2020-07-01415086912411136312,201.18,051,71815,038,366

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-10-11T15:24:00Oscar Östlin40000630000---0.007--1.440%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.523%
2011-01-27T00:59:00James Heinrichi7-9201600003640000---0.034--3.008%
2016-01-11T11:25:32mikrMSI300000010000000012---0.812--7.838%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:13Mark RoseManual testing259260--0.032--
2009-01-15T21:38:00Sturle Sundejodel.ifi260261--0.065--
2012-05-31T12:42:00Sebastian HornbostelManual testing261262--0.130--
2013-01-23T08:26:00dbaughManual testing262263--0.414--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.828--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.575--
2015-10-30T09:42:39ramgeisManual testing265266--3.151--
2017-06-16T21:40:02Gordon SpenceManual testing266267--6.302--
2019-04-08T13:40:34TJAOIManual testing267268--12.60--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.510 GHz-days
Estimated T-Level:3.100
DigitsB1CurvesCompleteFacMiss
201100062 / 1000.62053.627%
255000062 / 2800.22180.106%

New Calculation Method

Total ECM effort:5.510 GHz-days
Estimated T-Level:3.100
DigitsB1CompleteFacMiss
20110002.00013.534%
25500000.18183.464%
302500000.01198.893%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.332
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers4B99C144460447450.160
2018-05-13T20:26:17kkmrkkblmbrbkold4B99C144460447450.160


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-02T01:18:45CrypticClueManual testing
28625412758162949323033
B21C36D20BF1EC97no
2020-07-03T00:50:37marssystemsSYSTEM01
28625412758162949323033
B21C36D20BF1EC97no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 160000, B2 = 3640000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 40000, B2 = 630000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 40000 (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: 2020-07-03T00:50:37+00:00