is 2 2693213 - 1
has 810738 decimal digits
takes 0.208 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8FD9F3A4BA0900C3double-checked
PRP65293B998C720008PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.131567.6471%2000000500000000.51696.8696%22.648469.8696%2.2225%
PrimeNet2590.028562.7119%120002200000.00262.8417%0.031163.7715%1.0596%
GPU722630.592665.0794%140002200000.00281.6605%0.595465.6592%0.5798%
Difference+5+21.5389+2.5677%+1986000+49780000+0.5140+5.2091%+22.0529+4.2104%+1.6427%

Known prime factors (1 factor, 68.8 bits, 0.00255352% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26932135039177273764169170092168.77293553262845608
23 × 3 × 31 × 125743632857
2021-06-023112574363285734.470767.241,433.0

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%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.371%
2011-01-31T10:16:00markrtiny1050002310000---0.025--2.558%
2016-07-17T03:53:35Jocelyn LaroucheManual testing16750046200006---0.046--3.251%
2016-12-21T00:33:42Jocelyn Larouchelow 4M201000201000---0.023--1.225%
2017-04-22T17:25:07Jocelyn Larouchelow 4M33500033500006---0.056--3.343%
2018-07-16T00:00:55Jocelyn Larouchelow 4M67000067000006---0.112--4.224%
2019-11-14T14:05:44masserManual testing20000005000000012---0.517--6.870%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-13T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:19Mark RoseManual testing259260--0.029--
2009-01-31T06:08:00Sturle Sundegnom.ifi260261--0.057--
2012-05-03T21:31:00markroldgamer261262--0.114--
2013-01-10T10:18:00dbaughManual testing262263--0.364--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.729--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.387--
2016-01-27T13:46:24ramgeisManual testing265266--2.775--
2017-09-15T16:43:52Gordon SpenceManual testing266267--5.549--
2019-03-25T14:10:59TJAOIManual testing267268--11.10--


ECM factoring results:
Total ECM effort:10.768 GHz-days
Estimated T-Level:21.851
DigitsB1CompleteFacMiss
20110004.0001.832%
25500000.37069.066%
302500000.02397.693%
3510000000.00199.891%


ECM Summary

B1B2factorcurvesGHz-days
5000050000009810.15
50000500000060.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-08T00:00:00ANONYMOUSv4_computers8FD9F3A4BA0900C30.208
2018-07-29T11:42:20kkmrkkblmbrbkold8FD9F3A4BA0900C30.208


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-03T01:00:06happy5214Focus
503917727376416917009
65293B998C720008no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 670000, B2 = 6700000 (P-1 stage 2)
B1 = 670000 (P-1 stage 1)
B1 = 335000, B2 = 3350000 (P-1 stage 2)
B1 = 167500, B2 = 4620000 (P-1 stage 2)
B1 = 335000 (P-1 stage 1)
B1 = 105000, B2 = 2310000 (P-1 stage 2)
B1 = 201000 (P-1 stage 1)
B1 = 167500 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (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: 2021-06-03T01:00:06+00:00