is 2 255049 - 1
has 76778 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-LE9AC11C09069F280double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual270936.881374.2857%100000000020145430890585089,307.911227.9442%90,244.792581.4714%
Target2440.000059.0909%45001100000.000110.1916%0.000163.2602%
Difference+26+936.8813+15.1948%+999995500+201454308795850+89,307.9111+17.7526%+90,244.7924+18.2112%

Known prime factors (1 factor, 117.2 bits, 0.04595804% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25504919292437368396214758789691257293872736117.216378210409928998246587708464987
64458828977 × 5867472554674397131
2022-09-016445882897758674725546743971317.347e+112.601e+94.858e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-14ANONYMOUSv4_computers950003800000---0.002--1.512%
2001-06-17ANONYMOUSv4_computers10000010000000---0.005--1.893%
2002-06-02ANONYMOUSv4_computers327683276800---0.002--1.020%
2002-08-10ANONYMOUSv4_computers655366553600---0.003--1.525%
2003-03-07ANONYMOUSv4_computers13107213107200---0.007--2.152%
2003-11-08ANONYMOUSv4_computers26214426214400---0.014--2.891%
2011-02-07Jocelyn LaroucheManual testing20000002000000---0.016--1.897%
2012-02-26Jocelyn LaroucheManual testing24418092441809---0.020--2.050%
2013-10-14David Campeaui5-2500k256000071680000---0.051--4.885%
2015-01-16thelegendarymudkipi5-4670k10000000250000000---0.188--6.782%
2016-05-13mognutsManual testing285271300---5.35457e-5--0.074%
2021-12-04Seth_TrManual testing400000007618731120---3.685--11.693%
2021-12-15Seth_TrManual testing12000000059900720880---27.48--15.181%
2022-03-30Anton RepkoManual testing1000000000201454308905850---89,308--27.944%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24ANONYMOUSv4_computers252253--0.002--
2000-04-27ANONYMOUSv4_computers21254--0.009--
2000-12-14ANONYMOUSv4_computers21255--0.019--
2001-02-18ANONYMOUSv4_computers21256--0.038--
2002-03-16ANONYMOUSv4_computers21257--0.075--
2004-02-14ANONYMOUSv4_computers21258--0.151--
2009-01-01Sturle Sundegobi.ifi258259--0.151--
2009-01-25Sturle Sundeginjtje.ifi259260--0.301--
2013-07-24Sid & AndyBuzz260261--0.602--
2015-08-25NRManual testing261262--1.204--
2016-01-30Gordon SpenceManual testing262263--3.849--
2016-01-30Gordon SpenceManual testing263264--7.698--
2018-03-15Gordon SpenceManual testing264265--14.65--
2020-01-01Gordon SpenceManual testing265266--29.30--
2022-03-12Anton RepkoManual testing266270--879.0--


ECM factoring results:
Total ECM effort:600.064 GHz-days
Estimated T-Level:33.285
DigitsB1CompleteFacMiss
2011000175.2020.000%
255000036.0950.000%
302500005.4360.436%
3510000000.65751.845%
4030000000.06693.611%
45110000000.00699.440%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003071.837
2500002500000058017.35
100000010000000010011.96
10000002842011315470568.9


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Brian J. BeesleysamsonE9AC11C09069F2800.001
2001-10-13ANONYMOUSv4_computersE9AC11C09069F2800.001


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-01Anton Repkotethys
192924373683962147587896912572938727
F1E2BF010E921BAEno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 201454308905850 (P-1 stage 2)
B1 = 120000000, B2 = 59900720880 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 40000000, B2 = 7618731120 (P-1 stage 2)
B1 = 120000000 (P-1 stage 1)
B1 = 40000000 (P-1 stage 1)
B1 = 10000000, B2 = 250000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2560000, B2 = 71680000 (P-1 stage 2)
B1 = 2560000 (P-1 stage 1)
B1 = 2441809 (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 = 2852, B2 = 71300 (P-1 stage 2)
B1 = 2852 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=33.28 ~= 94-bit
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Last modified: 2023-03-25T13:08:14+00:00