is 2 2673457 - 1
has 804791 decimal digits
takes 0.206 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBC3F2443DD0F962Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.114467.1642%2000000600000000.57797.6999%11.692369.6925%2.5283%
PrimeNet2590.028762.7119%110002000000.00242.7087%0.031163.7219%1.0100%
GPU722630.597065.0794%130002200000.00271.6215%0.599765.6456%0.5662%
Difference+4+10.5174+2.0848%+1987000+59780000+0.5752+6.0783%+11.0926+4.0469%+4.0469%

Known prime factors (1 factor, 70.5 bits, 0.00263717% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
267345716739392617262116063772270.504313066427050484
22 × 79 × 179 × 5534729281
2017-11-101795534729281122.7633.77163.075

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.296%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.918%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.319%
2010-12-08T04:52:00markrtiny1050002283750---0.025--2.865%
2014-11-25T02:49:00Jocelyn LaroucheManual testing129008129008---0.014--1.106%
2015-01-29T22:02:00Jocelyn LaroucheManual testing161260161260---0.018--1.246%
2015-01-30T21:42:00Jocelyn LaroucheManual testing177386177386---0.020--1.308%
2015-02-01T13:32:00Jocelyn LaroucheManual testing195124195124---0.022--1.373%
2015-02-03T07:46:00Jocelyn LaroucheManual testing214636214636---0.024--1.439%
2015-02-03T07:46:00Jocelyn LaroucheManual testing236099236099---0.026--1.507%
2015-02-05T22:18:00Jocelyn LaroucheManual testing472198472198---0.053--2.061%
2015-03-12T10:39:00Jocelyn LaroucheManual testing571358571358---0.064--2.230%
2015-03-14T11:30:00Jocelyn LaroucheManual testing628493628493---0.070--2.318%
2015-04-08T16:59:00Jocelyn LaroucheManual testing836523836523---0.094--2.592%
2015-05-01T17:21:00Jocelyn LaroucheManual testing10121921012192---0.113--2.784%
2015-05-07T16:19:00Jocelyn LaroucheManual testing11134111113411---0.125--2.883%
2015-05-22T00:29:00Jocelyn LaroucheManual testing12247521224752---0.137--2.984%
2015-05-26T18:17:00Jocelyn LaroucheManual testing13472271347227---0.151--3.086%
2015-06-08T13:43:00Jocelyn LaroucheManual testing14819491481949---0.166--3.191%
2015-06-25T21:15:00Jocelyn LaroucheManual testing16301431630143---0.183--3.297%
2015-07-13T12:24:00Jocelyn LaroucheManual testing17931571793157---0.201--3.405%
2016-08-04T04:14:08Jocelyn LaroucheManual testing179315735863146---0.212--4.226%
2019-07-04T12:43:59alpertronManual testing20000006000000012---0.578--7.700%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-26T20:38:00Sturle Sundeantonov.ifi260261--0.057--
2012-05-19T08:03:00Grant McCrackenthumper261262--0.115--
2013-01-14T11:57:00dbaughManual testing262263--0.367--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.734--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.398--
2016-01-25T14:29:37ramgeisManual testing265266--2.795--
2017-09-10T15:01:54Gordon SpenceManual testing266267--5.590--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.689 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:2.689 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110000.83943.227%
25500000.07692.700%
302500000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.482
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersBC3F2443DD0F962E0.206
1999-05-09T00:00:00ANONYMOUSv4_computersBC3F2443DD0F962E0.206


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-11T20:28:28Oliver KruseGTX-1
1673939261726211606377
D73EC4AACA651C__no
2017-12-03T12:51:23ATHec2-1xf
1673939261726211606377
D73EC4AACA651C__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1793157, B2 = 3586314 (P-1 stage 2)
B1 = 1793157 (P-1 stage 1)
B1 = 1630143 (P-1 stage 1)
B1 = 1481949 (P-1 stage 1)
B1 = 1347227 (P-1 stage 1)
B1 = 1224752 (P-1 stage 1)
B1 = 1113411 (P-1 stage 1)
B1 = 1012192 (P-1 stage 1)
B1 = 836523 (P-1 stage 1)
B1 = 628493 (P-1 stage 1)
B1 = 571358 (P-1 stage 1)
B1 = 472198 (P-1 stage 1)
B1 = 236099 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 214636 (P-1 stage 1)
B1 = 195124 (P-1 stage 1)
B1 = 177386 (P-1 stage 1)
B1 = 161260 (P-1 stage 1)
B1 = 129008 (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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1010
TF factor-bounds graph:
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265
264
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2100
Last modified: 2019-07-04T12:43:59+00:00