is 2 301991 - 1
has 90909 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L10E9ACFCA701802Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual268197.373072.0588%10000000004121903562777023,165.687628.3121%23,363.060679.9695%7.9107%
PrimeNet2400.000052.5000%3200900000.000115.5814%0.000159.9012%7.4012%
GPU722440.000056.8182%55001400000.000111.2542%0.000161.6780%4.8598%
Difference+24+197.3730+15.2406%+999994500+41219035487770+23,165.6874+17.0579%+23,363.0605+18.2916%+3.0510%

Known prime factors (1 factor, 138.9 bits, 0.04598435% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30199163622357376073096115495681596187210807522342138.8691053381679852596536246041795884433821
33 × 7 × 2033041 × 121803817 × 139258433 × 161620117289
2022-09-101392584331616201172894.261e+1192.152169.58

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-17T00:00:00ANONYMOUSv4_computers110001100000---0.001--0.672%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.398%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.398%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.030%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.009--2.789%
2006-01-15T00:00:00Jocelyn Larouchev4_computers301991301991---0.003--1.046%
2008-11-11T21:34:00GrunwalderGIMPGWPrime022000000200000000---0.132--6.804%
2012-08-20T16:01:00alpertronManual testing10000000200000000---0.210--7.775%
2012-09-12T14:45:00alpertronManual testing1000000002000000000---2.098--11.936%
2022-09-10T18:13:54Oliver Kruse5950X10000000004121903562777042138.86923,1660.00446,33128.312%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:12:03LordJuliusManual testing254255--0.008--
2001-03-17T00:00:00ANONYMOUSv4_computers21256--0.032--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.064--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.127--
2009-01-02T09:20:00Sturle Sundegoscha.ifi258259--0.127--
2009-01-27T04:58:00Sturle Sundegerle.ifi259260--0.254--
2012-04-23T11:20:00David CampeauManual testing260261--0.509--
2015-07-19T18:05:00NRManual testing261262--1.017--
2015-12-13T00:49:43Gordon SpenceManual testing262263--3.251--
2015-12-13T00:49:43Gordon SpenceManual testing263264--6.501--
2018-01-18T21:34:31Gordon SpenceManual testing264265--12.37--
2018-09-23T17:29:26Gordon SpenceManual testing265266--24.74--
2020-11-30T05:46:42YxinityManual testing266267--49.49--
2022-06-05T21:46:16Gordon SpenceManual testing267268--98.98--


ECM factoring results:
Total ECM effort:24.419 GHz-days
Estimated T-Level:29.857
DigitsB1CompleteFacMiss
201100063.8990.000%
25500009.2250.010%
302500000.97137.858%
3510000000.08092.323%
4030000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.144
2500002500000058422.27


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08T00:00:00phillisoftv4_computers10E9ACFCA701802D0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-12T05:08:58Oliver KruseMini-AWS-2
636223573760730961154956815961872108075223
25E289DB8FCB3AB6no
2022-09-12T16:21:29seatseadt
636223573760730961154956815961872108075223
25E289DB8FCB3AB6no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 41219035627770 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 301991 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-09-12T16:21:29+00:00