is 2 2742799 - 1
has 825665 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3BB1032DB51EEC0Adouble-checked
PRPF4F276F5ACB38926verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.731467.6471%274279954622380.32384.3742%22.055269.0623%1.4152%
PrimeNet2590.028062.7119%120002200000.00262.8511%0.030663.7750%1.0631%
GPU722630.581965.0794%140002400000.00291.7082%0.584865.6759%0.5965%
Difference+5+21.1495+2.5677%+2728799+5222238+0.3208+2.6661%+21.4703+3.3864%+3.3864%

Known prime factors (1 factor, 81.3 bits, 0.00296294% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
274279929106379499244055188215512581.268530596290490919225
52 × 317 × 1089239 × 61466963
2020-08-15108923961466963248,3120.49040.7005

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers20000240000---0.004--0.902%
2002-01-02T00:00:00ANONYMOUSv4_computers500001500000---0.014--1.959%
2014-04-16T21:18:00Jocelyn LaroucheManual testing6000060000---0.007--0.609%
2014-04-21T00:05:00Jocelyn LaroucheManual testing100000100000---0.011--0.837%
2014-10-18T13:18:00Jocelyn LaroucheManual testing123401123401---0.014--0.945%
2015-03-17T11:45:00Jocelyn LaroucheManual testing700239700239---0.078--2.170%
2015-04-08T16:59:00Jocelyn LaroucheManual testing847288847288---0.095--2.341%
2015-05-01T17:21:00Jocelyn LaroucheManual testing10252171025217---0.115--2.520%
2015-05-07T16:19:00Jocelyn LaroucheManual testing11277381127738---0.126--2.612%
2015-05-22T00:29:00Jocelyn LaroucheManual testing12405111240511---0.139--2.705%
2015-06-08T13:43:00Jocelyn LaroucheManual testing13645621364562---0.153--2.801%
2015-06-25T21:15:00Jocelyn LaroucheManual testing15010181501018---0.168--2.898%
2015-07-07T18:13:00Jocelyn LaroucheManual testing16511191651119---0.185--2.997%
2016-05-09T02:12:08mognutsStanley15000123750---0.002--0.654%
2016-08-01T15:21:52Jocelyn LaroucheManual testing165111933022386---0.195--3.749%
2018-04-09T23:44:22Jocelyn Larouchelow 4M274279954622386---0.324--4.374%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-05T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:20Mark RoseManual testing259260--0.028--
2009-01-30T17:36:00Sturle Sundegollumilla.ifi260261--0.056--
2012-04-05T16:52:00markroldgamer261262--0.112--
2013-01-10T10:18:00dbaughManual testing262263--0.358--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.716--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.362--
2016-02-03T11:43:36ramgeisManual testing265266--2.724--
2017-10-05T11:09:31Gordon SpenceManual testing266267--5.449--
2019-02-18T09:11:43chuenkitManual testing267268--10.90--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.050 GHz-days
Estimated T-Level:1.950
DigitsB1CurvesCompleteFacMiss
201100039 / 1000.39067.573%
255000039 / 2800.13986.976%

New Calculation Method

Total ECM effort:4.050 GHz-days
Estimated T-Level:1.950
DigitsB1CompleteFacMiss
20110001.25828.420%
25500000.11489.252%
302500000.00799.302%


ECM Summary

B1B2factorcurvesGHz-days
500005000000363.738
50000500000030.312


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-05T00:00:00ANONYMOUSv4_computers3BB1032DB51EEC0A0.212
1999-05-02T00:00:00ANONYMOUSv4_computers3ECC83024C4E0D__0.212
2000-03-22T00:00:00ANONYMOUSv4_computers3BB1032DB51EEC0A0.212
2001-03-25T00:00:00ANONYMOUSv4_computers3BB1032DB51EEC0A0.212


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-15T21:55:15Xyzzy3950X
2910637949924405518821551
F4F276F5ACB38926no


P-1 factor-bounds graph:
B1 = 2742799, B2 = 5462238 (P-1 stage 2)
B1 = 2742799 (P-1 stage 1)
B1 = 1651119, B2 = 3302238 (P-1 stage 2)
B1 = 1651119 (P-1 stage 1)
B1 = 1501018 (P-1 stage 1)
B1 = 1364562 (P-1 stage 1)
B1 = 1240511 (P-1 stage 1)
B1 = 1127738 (P-1 stage 1)
B1 = 1025217 (P-1 stage 1)
B1 = 847288 (P-1 stage 1)
B1 = 700239 (P-1 stage 1)
B1 = 50000, B2 = 1500000 (P-1 stage 2)
B1 = 123401 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 15000, B2 = 123750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-08-15T21:55:15+00:00