is 2 2676139 - 1
has 805599 decimal digits
takes 0.207 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6484608759EE563Bdouble-checked
PRPBB1C29C24E2E5055verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.272767.6471%2000000500000000.51696.8650%22.789669.8681%2.2210%
PrimeNet2590.028762.7119%120002200000.00262.8385%0.031363.7703%1.0584%
GPU722630.596465.0794%130002200000.00271.6218%0.599165.6457%0.5664%
Difference+5+21.6763+2.5677%+1987000+49780000+0.5141+5.2432%+22.1905+4.2224%+4.2224%

Known prime factors (1 factor, 75.1 bits, 0.00280727% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2676139412368774570082148511532375.1267704547009144184
23 × 963068376143023
2020-08-3089630683761430233,220.85,876,30910,975,308

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.785%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-07T02:49:00markrtiny1050002283750---0.025--2.548%
2016-06-12T23:59:49Jocelyn LaroucheManual testing15188245675006---0.044--3.186%
2016-12-17T04:47:51Jocelyn Larouchelow 4M182258182258---0.020--1.163%
2016-12-29T21:56:34Jocelyn Larouchelow 4M218709218709---0.024--1.277%
2017-03-04T18:15:43Jocelyn Larouchelow 4M31494031494006---0.053--3.267%
2018-08-29T01:29:33Jocelyn Larouchelow 4M629880629880---0.071--2.071%
2018-08-30T21:10:16Jocelyn Larouchelow 4M6298801259760---0.074--2.681%
2018-09-03T21:22:15Jocelyn Larouchelow 4M6298801889640---0.078--3.043%
2018-09-04T10:43:02Jocelyn Larouchelow 4M6298802519520---0.082--3.302%
2019-11-20T04:52:27masserManual testing20000005000000012---0.517--6.865%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-31T10:55:00Sturle Sundeghibu.ifi260261--0.057--
2012-05-12T11:01:00Grant McCrackenthumper261262--0.115--
2013-01-14T12:25:00dbaughManual testing262263--0.367--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.734--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.396--
2016-01-25T14:29:38ramgeisManual testing265266--2.792--
2017-09-10T15:01:55Gordon SpenceManual testing266267--5.585--
2019-04-22T13:11:28TJAOIManual testing267268--11.17--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.068 GHz-days
Estimated T-Level:2.450
DigitsB1CurvesCompleteFacMiss
201100049 / 1000.49061.112%
255000049 / 2800.17583.919%

New Calculation Method

Total ECM effort:5.068 GHz-days
Estimated T-Level:2.450
DigitsB1CompleteFacMiss
20110001.58120.584%
25500000.14386.688%
302500000.00999.124%


ECM Summary

B1B2factorcurvesGHz-days
500005000000454.655
50000500000040.414


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-01T00:00:00ANONYMOUSv4_computers6484608759EE563B0.207
2018-07-25T11:57:38kkmrkkblmbrbkold6484608759EE563B0.207


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-30T07:15:05CrypticCluecruncher
41236877457008214851153
BB1C29C24E2E5055no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 629880, B2 = 2519520 (P-1 stage 2)
B1 = 629880, B2 = 1889640 (P-1 stage 2)
B1 = 629880, B2 = 1259760 (P-1 stage 2)
B1 = 629880 (P-1 stage 1)
B1 = 314940, B2 = 3149400 (P-1 stage 2)
B1 = 151882, B2 = 4567500 (P-1 stage 2)
B1 = 314940 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 218709 (P-1 stage 1)
B1 = 182258 (P-1 stage 1)
B1 = 151882 (P-1 stage 1)
B1 = 105000 (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: 2020-08-30T07:15:05+00:00