is 2 2616577 - 1
has 787669 decimal digits
takes 0.202 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAC19F45CC29F48A3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.356067.1642%40000040000000.06683.9308%11.422868.4549%1.2907%
PrimeNet2590.029362.7119%110002000000.00242.6980%0.031763.7179%1.0060%
GPU722630.610065.0794%120002000000.00251.5323%0.612565.6144%0.5351%
Difference+4+10.7461+2.0848%+388000+3800000+0.0643+2.3985%+10.8103+2.8404%+2.8404%

Known prime factors (1 factor, 74.4 bits, 0.00284489% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2616577256047955681957777604392374.4394892803760064347
104021 × 47036692207
2019-03-01104021470366922071,989.8287.01536.04

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.295%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.914%
2010-11-17T22:11:00Jocelyn LaroucheManual testing2000020000---0.002--0.317%
2010-12-13T03:19:00markrtiny1000002125000---0.024--2.783%
2014-10-12T23:56:00Jocelyn LaroucheManual testing124530124530---0.014--1.081%
2016-05-24T01:15:56Jocelyn LaroucheManual testing20000036000006---0.043--3.518%
2017-07-20T22:03:19Jocelyn Larouchelow 4M40000040000006---0.067--3.931%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:17Mark RoseManual testing259260--0.029--
2009-01-31T20:31:00Sturle Sundegonsha.ifi260261--0.059--
2012-06-22T06:05:00markroldgamer261262--0.117--
2013-01-14T11:55:00dbaughManual testing262263--0.375--
2015-02-18T11:41:00VictordeHollanderManual testing263264--0.750--
2015-02-18T11:41:00VictordeHollanderManual testing264265--1.428--
2016-01-17T23:07:14ramgeisManual testing265266--2.856--
2017-08-30T11:24:05Gordon SpenceManual testing266267--5.712--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.402 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:3.402 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.06534.489%
25500000.09690.827%
302500000.00699.409%


ECM Summary

B1B2factorcurvesGHz-days
500005000000303.092
50000500000030.309


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersAC19F45CC29F48A30.202
2018-07-07T00:01:31kkmrkkblmbrbkoldAC19F45CC29F48A30.202


PRP results:
dateuseridcompidcofactorsres64PRP
2019-03-02T00:32:17artorollofourth
25604795568195777760439
A02EAC6E752DBDAEno
2019-03-02T10:39:49kkmrkkblmbrbkc5.large
25604795568195777760439
A02EAC6E752DBDAEno


P-1 factor-bounds graph:
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 = 124530 (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)
102
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104
105
106
102
103
104
105
106
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109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
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2100
Last modified: 2019-03-02T10:39:49+00:00