is 2 2682319 - 1
has 807459 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-L12615D53902828B8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.221467.6471%2000000500000000.51696.8667%22.738369.8686%2.2216%
PrimeNet2590.028662.7119%120002200000.00262.8397%0.031263.7707%1.0589%
GPU722630.595065.0794%130002200000.00271.6226%0.597765.6460%0.5666%
Difference+5+21.6264+2.5677%+1987000+49780000+0.5141+5.2441%+22.1405+4.2227%+4.2227%

Known prime factors (1 factor, 70.5 bits, 0.00262877% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
268231916836285059077042101192270.512313838232124461
3 × 11 × 197 × 199 × 242589839
2021-02-11199242589839150.851.48022.7646

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--0.786%
2010-11-20T12:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-05T01:51:00markrtiny1050002283750---0.025--2.549%
2016-06-01T11:16:09Jocelyn LaroucheManual testing15182145675006---0.044--3.186%
2016-12-16T17:35:07Jocelyn Larouchelow 4M182185182185---0.020--1.163%
2016-12-29T21:56:33Jocelyn Larouchelow 4M218622218622---0.024--1.277%
2017-03-03T01:10:48Jocelyn Larouchelow 4M31481531481506---0.053--3.268%
2018-02-20T11:48:59Jocelyn Larouchelow 4M377778377778---0.042--1.660%
2018-08-06T19:34:57Jocelyn Larouchelow 4M14833331483333012---0.248--5.349%
2019-11-16T14:17:45masserManual testing20000005000000012---0.517--6.867%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-27T01:58:00Sturle Sundegaudi.ifi260261--0.057--
2012-05-13T23:34:00markroldgamer261262--0.115--
2013-01-14T12:26:00dbaughManual testing262263--0.366--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.732--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.393--
2016-01-25T14:29:41ramgeisManual testing265266--2.786--
2017-09-13T08:55:32Gordon SpenceManual testing266267--5.572--
2019-05-13T13:38:09TJAOIManual testing267268--11.14--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.692 GHz-days
Estimated T-Level:4.200
DigitsB1CurvesCompleteFacMiss
201100084 / 1000.84042.989%
255000084 / 2800.30074.042%

New Calculation Method

Total ECM effort:8.692 GHz-days
Estimated T-Level:4.200
DigitsB1CompleteFacMiss
20110002.7106.656%
25500000.24578.278%
302500000.01598.503%


ECM Summary

B1B2factorcurvesGHz-days
500005000000808.278
50000500000040.414


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-11T00:00:00ANONYMOUSv4_computers12615D53902828B80.207
1999-05-30T00:00:00ANONYMOUSv4_computers12615D53902828B80.207


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-12T01:46:36Yuji Hasegawavj22m
1683628505907704210119
B0BD0F1AFA1F10__no
2021-02-13T00:27:36marssystemssystem11
1683628505907704210119
B0BD0F1AFA1F106Fno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 1483333, B2 = 14833330 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1483333 (P-1 stage 1)
B1 = 314815, B2 = 3148150 (P-1 stage 2)
B1 = 151821, B2 = 4567500 (P-1 stage 2)
B1 = 377778 (P-1 stage 1)
B1 = 314815 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 218622 (P-1 stage 1)
B1 = 182185 (P-1 stage 1)
B1 = 151821 (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: 2021-02-13T00:27:36+00:00