is 2 101359 - 1
has 30513 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF271B105EE8DF002double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual268588.057175.0000%10000000000879161696813400154,372.186833.2607%154,960.243883.3152%8.3152%
Target2440.000061.3636%1200180000.00004.1598%0.000062.9708%1.6072%
Difference+24+588.0570+13.6364%+9999998800+879161696795400+154,372.1868+29.1009%+154,960.2438+20.3443%+6.7080%

Known prime factors (1 factor, 149.1 bits, 0.14713066% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10135978100453823747701540606913439390837653985681745149.1303852664974188167875600929046231259071912
23 × 3 × 37 × 71 × 3733 × 16141 × 63199 × 49910197 × 321515572100791
2022-12-09499101973215155721007911.795e+1256,444105,421

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.007--3.900%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.142%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.001--1.694%
2003-02-02T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.370%
2003-09-21T00:00:00ANONYMOUSv4_computers26214426214400---0.005--3.162%
2012-11-21T13:01:00alpertronManual testing1000000002000000000---0.656--11.010%
2017-03-18T13:23:26mikrS0523500000002550000000012---5.543--15.363%
2022-12-09T03:36:40Oliver Kruse5950X1000000000087916169681340045149.130154,3720.000308,74433.261%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-28T21:57:48Oliver KruseOllaptop50000000705000000027--1.449


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.006--
1999-12-30T00:00:00ANONYMOUSv4_computers253254--0.012--
2022-03-07T02:02:53LordJuliusManual testing254255--0.024--
2000-12-07T00:00:00ANONYMOUSv4_computers21256--0.095--
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.095--
2002-04-20T00:00:00ANONYMOUSv4_computers21257--0.189--
2016-02-23T16:27:55Mark RoseManual testing257258--0.189--
2009-01-05T23:16:00Sturle Sundeginglo.ifi258259--0.379--
2009-02-03T07:02:00monstkingslake259260--0.758--
2012-03-03T11:28:00Richard B. WoodsPuttputt260261--1.515--
2015-07-16T18:26:00NRManual testing261262--3.031--
2016-02-04T12:24:17monstedManual testing262263--9.68--
2016-02-17T13:50:42Gordon SpenceManual testing263264--19.37--
2018-02-18T01:45:28BloodERazorManual testing264265--36.86--
2019-04-27T17:32:48BloodERazorManual testing265266--73.73--
2020-01-22T16:11:04Gordon SpenceManual testing266267--147.5--
2022-04-15T22:30:19Gordon SpenceManual testing267268--294.9--


ECM factoring results:
Total ECM effort:272.787 GHz-days
Estimated T-Level:36.261
DigitsB1CompleteFacMiss
2011000467.7720.000%
255000096.6370.000%
3025000016.0570.000%
3510000002.19311.160%
4030000000.25277.704%
45110000000.02597.509%
50440000000.00299.777%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002930.680
250000250000005796.721
10000001000000001,72880.24
3000000300000040.378
300000030000000033847.08
30000005706890290144137.7


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2016-06-01T06:37:16MadPooManual testingF271B105EE8DF0020.000


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-09T09:06:22Oliver KruseServer-Phi
781004538237477015406069134393908376539856817
CF532E770933C1__no
2022-12-15T01:36:25Funky Waddlemain
781004538237477015406069134393908376539856817
CF532E770933C19Dno


P-1 factor-bounds graph:
B1 = 10000000000, B2 = 879161696813400 (P-1 stage 2)
B1 = 10000000000 (P-1 stage 1)
B1 = 350000000, B2 = 25500000000 (P-1 stage 2)
B1 = 350000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (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 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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Last modified: 2022-12-15T01:36:25+00:00