is 2 2900857 - 1
has 873245 decimal digits
takes 0.224 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7D1FA3C3A86A2561double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.547367.6471%290085758017140.34264.4808%20.889969.0967%1.4497%
PrimeNet2590.026562.7119%130002400000.00283.0023%0.029363.8314%1.1195%
GPU722630.550265.0794%160003000000.00351.9091%0.553765.7460%0.6667%
Difference+5+19.9971+2.5677%+2884857+5501714+0.3390+2.5717%+20.3362+3.3507%+3.3507%

Known prime factors (1 factor, 68.1 bits, 0.00234923% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29008573270142701920827229112168.14856365113859815
3 × 5 × 107 × 967 × 36316909
2019-07-039673631690924.6290.22170.4139

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-04-27T00:00:00ANONYMOUSv4_computers15000150000---0.003--0.707%
2002-01-02T00:00:00ANONYMOUSv4_computers20000240000---0.004--0.912%
2002-01-02T00:00:00ANONYMOUSv4_computers500001500000---0.014--1.978%
2010-03-21T13:20:00Rob_Deetwopc100000200000---0.012--1.200%
2010-03-22T14:47:00Rob_Deetwopc200000300000---0.023--1.499%
2010-03-23T15:26:00Rob_Deetwopc300000400000---0.034--1.720%
2010-03-24T14:32:00Rob_Deetwopc400000500000---0.045--1.900%
2010-03-25T15:10:00Rob_Deetwopc500000600000---0.057--2.053%
2010-03-26T13:53:00Rob_Deetwopc600000700000---0.068--2.188%
2010-03-27T14:04:00Rob_Deetwopc700000800000---0.079--2.308%
2010-03-28T14:44:00Rob_Deetwopc800000900000---0.090--2.417%
2010-03-29T13:40:00Rob_Deetwopc9000001000000---0.101--2.517%
2010-03-30T13:45:00Rob_Deetwopc10000001100000---0.113--2.609%
2018-02-05T00:23:54Jocelyn Larouchelow 4M14400001440000---0.161--2.877%
2018-02-07T23:08:42Jocelyn Larouchelow 4M17280001728000---0.194--3.067%
2018-02-11T21:50:39Jocelyn Larouchelow 4M20736002073600---0.232--3.264%
2018-02-12T23:18:34Jocelyn Larouchelow 4M24883202488320---0.279--3.468%
2018-02-17T12:57:15Jocelyn Larouchelow 4M29008572900857---0.325--3.643%
2018-02-18T21:32:12Jocelyn Larouchelow 4M290085758017146---0.343--4.481%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00ANONYMOUSv4_computers21259--0.026--
2016-02-23T16:29:24Mark RoseManual testing259260--0.026--
2009-02-13T05:02:00Sturle Sundegowin.ifi260261--0.053--
2011-12-07T21:05:00Grant McCrackenthumper261262--0.106--
2013-01-10T10:25:00dbaughManual testing262263--0.338--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.677--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.288--
2016-02-20T17:30:30YxinityManual testing265266--2.576--
2017-11-16T23:15:03Gordon SpenceManual testing266267--5.152--
2018-12-17T01:16:47chuenkitManual testing267268--10.30--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.677 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.677 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.61554.043%
25500000.05794.465%
302500000.00499.641%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.572
50000500000010.105


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-23T00:00:00ANONYMOUSv4_computersC58B6265CAED71__0.224
1999-08-16T00:00:00ANONYMOUSv4_computers7D1FA3C3A86A25610.224
2000-05-05T00:00:00ANONYMOUSv4_computers7D1FA3C3A86A25610.224
2018-09-30T10:42:40kkmrkkblmbrbkold7D1FA3C3A86A25610.224


PRP results:
dateuseridcompidcofactorsres64PRP
2019-07-09T06:13:10roemer2201ws-rebentrost-o
327014270192082722911
11A822BA68CBD7DCno
2019-07-10T03:11:25marssystemssystem11
327014270192082722911
11A822BA68CBD7DCno


P-1 factor-bounds graph:
B1 = 2900857, B2 = 5801714 (P-1 stage 2)
B1 = 2900857 (P-1 stage 1)
B1 = 2488320 (P-1 stage 1)
B1 = 2073600 (P-1 stage 1)
B1 = 1728000 (P-1 stage 1)
B1 = 1440000 (P-1 stage 1)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000, B2 = 1000000 (P-1 stage 2)
B1 = 900000 (P-1 stage 1)
B1 = 800000, B2 = 900000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 700000, B2 = 800000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 600000, B2 = 700000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 500000, B2 = 600000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 400000, B2 = 500000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 300000, B2 = 400000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000, B2 = 300000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 50000, B2 = 1500000 (P-1 stage 2)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 15000, B2 = 150000 (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: 2019-07-10T03:11:25+00:00