is 2 254927 - 1
has 76741 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L911657D87E83DF3Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual270937.329674.2857%100000000020289610196856089,947.026027.9529%90,884.355781.4736%7.1879%
PrimeNet2400.000055.0000%2600700000.000114.2451%0.000161.4103%6.4103%
GPU722440.000059.0909%45001100000.000110.1908%0.000163.2599%4.1690%
Difference+26+937.3296+15.1948%+999995500+202896101858560+89,947.0260+17.7620%+90,884.3556+18.2137%+3.0189%

Known prime factors (1 factor, 109.9 bits, 0.04310166% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
254927119263270813186797368300414865811934109.8782339165149497440392118143917
3 × 17 × 8341213 × 5498718630429318059
2022-11-25834121354987186304293180596.669e+112.437e+94.552e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00ANONYMOUSv4_computers950003800000---0.002--1.512%
2001-06-17T00:00:00ANONYMOUSv4_computers10000010000000---0.005--1.893%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.020%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.003--1.525%
2003-03-07T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.152%
2003-11-08T00:00:00ANONYMOUSv4_computers26214426214400---0.014--2.891%
2011-02-07T22:22:00Jocelyn LaroucheManual testing20000002000000---0.016--1.897%
2012-02-26T15:17:00Jocelyn LaroucheManual testing24433242443324---0.020--2.051%
2013-10-14T00:22:00David Campeaui5-2500k256500071820000---0.052--4.888%
2015-01-16T17:13:00thelegendarymudkipi5-4670k10000000250000000---0.188--6.781%
2016-05-13T23:04:31mognutsManual testing285071250---5.35081e-5--0.074%
2021-12-05T00:47:29Seth_TrManual testing120000000120000000---0.976--6.339%
2021-12-05T11:51:05Seth_TrManual testing12000000057783635910---26.54--15.132%
2022-03-09T07:00:19-Anonymous-T58101000000000202896101968560---89,947--27.953%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.009--
2000-12-07T00:00:00ANONYMOUSv4_computers21255--0.019--
2001-02-18T00:00:00ANONYMOUSv4_computers21256--0.038--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.075--
2004-02-14T00:00:00ANONYMOUSv4_computers21258--0.151--
2009-01-01T04:32:00Sturle Sundegobi.ifi258259--0.151--
2009-01-24T21:23:00Sturle Sundeginjtje.ifi259260--0.301--
2013-07-23T19:39:00Sid & AndyBuzz260261--0.602--
2015-08-25T13:23:00NRManual testing261262--1.205--
2016-01-30T13:38:40Gordon SpenceManual testing262263--3.851--
2016-01-30T13:38:40Gordon SpenceManual testing263264--7.701--
2017-11-01T00:15:20One ManManual testing264265--14.66--
2017-11-01T00:15:20One ManManual testing265266--29.31--
2022-02-06T16:07:42Anton RepkoManual testing266270--879.4--


ECM factoring results:
Total ECM effort:110.690 GHz-days
Estimated T-Level:32.855
DigitsB1CompleteFacMiss
2011000191.4760.000%
255000034.7320.000%
302500004.9150.734%
3510000000.57156.501%
4030000000.05594.607%
45110000000.00599.545%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002831.693
2500002500000058417.47
100000010000000010011.96
100000010000000066579.56


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-10-13T00:00:00ANONYMOUSv4_computers911657D87E83DF3A0.001


PRP results:
dateuseridcompidcofactorsres64PRP
2022-11-25T21:56:09Anton Repkotethys
1192632708131867973683004148658119
159FADED82B6336Fno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 202896101968560 (P-1 stage 2)
B1 = 120000000, B2 = 57783635910 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 120000000 (P-1 stage 1)
B1 = 10000000, B2 = 250000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2565000, B2 = 71820000 (P-1 stage 2)
B1 = 2565000 (P-1 stage 1)
B1 = 2443324 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 95000, B2 = 3800000 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2850, B2 = 71250 (P-1 stage 2)
B1 = 2850 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-25T21:56:09+00:00