is 2 2612719 - 1
has 786507 decimal digits
takes 0.181 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L21E061A1774B614Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.813467.6471%2612719261271900.39166.2074%23.205069.6553%2.0083%
PrimeNet2590.029462.7119%110002000000.00212.6973%0.031563.7176%1.0058%
GPU722630.610965.0794%120002000000.00221.5318%0.613165.6143%0.5349%
Difference+5+22.2025+2.5677%+2600719+25927190+0.3894+4.6756%+22.5919+4.0411%+4.0411%

Known prime factors (1 factor, 74.0 bits, 0.00283167% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2612719186756758618285830700892373.9843573992431223676
22 × 32 × 7 × 11 × 1289319058883
2020-07-061112893190588831,317.97,064.913,195

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.238%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.781%
2010-11-17T11:34:00Jocelyn LaroucheManual testing2000020000---0.002--0.266%
2010-12-14T06:52:00markrtiny1000002125000---0.021--2.473%
2014-10-12T23:56:00Jocelyn LaroucheManual testing124566124566---0.013--0.942%
2016-05-24T01:15:54Jocelyn LaroucheManual testing20000036000006---0.039--3.155%
2017-07-10T01:11:35Jocelyn Larouchelow 4M40000040000006---0.060--3.545%
2019-10-14T15:57:29masserManual testing26127192612719012---0.392--6.207%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-01-30T21:50:00Sturle Sundefizir.ifi260261--0.059--
2012-06-26T15:41:00Grant McCrackenthumper261262--0.118--
2013-01-14T11:55:00dbaughManual testing262263--0.376--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.751--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.430--
2016-01-16T11:43:03ramgeisManual testing265266--2.860--
2017-08-28T12:47:26Gordon SpenceManual testing266267--5.720--
2019-04-29T13:20:19TJAOIManual testing267268--11.44--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.239 GHz-days
Estimated T-Level:1.750
DigitsB1CurvesCompleteFacMiss
201100035 / 1000.35070.345%
255000035 / 2800.12588.230%

New Calculation Method

Total ECM effort:3.239 GHz-days
Estimated T-Level:1.750
DigitsB1CompleteFacMiss
20110001.12932.335%
25500000.10290.299%
302500000.00699.374%


ECM Summary

B1B2factorcurvesGHz-days
500005000000333.054
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computers21E061A1774B614D0.181


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-06T09:52:28CrypticClueManual testing
18675675861828583070089
24CF36173E3E8F87no
2020-07-07T08:24:40marssystemssystem11
18675675861828583070089
24CF36173E3E8F87no


P-1 factor-bounds graph:
B1 = 2612719, B2 = 26127190 (P-1 stage 2)
B1 = 2612719 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 124566 (P-1 stage 1)
B1 = 100000 (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)
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TF factor-bounds graph:
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Last modified: 2020-07-07T08:24:40+00:00