is 2 2903657 - 1
has 874088 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-LA8787022BD554636double-checked
PRP187C9034A43550E9verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26941.116068.1159%50000002000000001.74988.5100%42.865870.8293%2.7133%
PrimeNet2590.026462.7119%130002400000.00283.0028%0.029363.8315%1.1197%
GPU722630.549765.0794%160003000000.00351.9095%0.553265.7462%0.6668%
Difference+6+40.5664+3.0366%+4984000+199700000+1.7463+6.6005%+42.3126+5.0831%+5.0831%

Known prime factors (1 factor, 78.5 bits, 0.00270493% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29036574400022420393765645816232478.54275766910836813123
13013303 × 5822265941
2021-12-2013013303582226594130,58836.90366.352

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.198%
2009-07-03T00:38:00Carsten Kossendeyleela15000168750---0.003--0.628%
2010-05-06T13:10:00Rob_Deetwopc100000200000---0.012--1.050%
2010-05-07T12:00:00Rob_Deetwopc200000300000---0.023--1.322%
2010-05-08T12:17:00Rob_Deetwopc300000400000---0.034--1.523%
2010-05-09T12:12:00Rob_Deetwopc400000500000---0.045--1.688%
2010-05-10T12:16:00Rob_Deetwopc500000600000---0.057--1.829%
2010-05-11T11:47:00Rob_Deetwopc600000700000---0.068--1.953%
2010-05-12T11:29:00Rob_Deetwopc700000800000---0.079--2.064%
2010-05-13T11:31:00Rob_Deetwopc800000900000---0.090--2.164%
2010-05-14T11:47:00Rob_Deetwopc9000001000000---0.101--2.256%
2010-05-15T12:50:00Rob_Deetwopc10000001100000---0.113--2.341%
2018-02-04T15:49:26Jocelyn Larouchelow 4M12000001200000---0.134--2.419%
2018-02-07T11:33:45Jocelyn Larouchelow 4M14400001440000---0.161--2.590%
2018-02-07T23:08:42Jocelyn Larouchelow 4M17280001728000---0.194--2.766%
2018-02-12T23:18:34Jocelyn Larouchelow 4M20736002073600---0.232--2.949%
2018-02-13T22:39:24Jocelyn Larouchelow 4M24883202488320---0.279--3.139%
2018-02-16T02:52:23Jocelyn Larouchelow 4M29036572903657---0.325--3.304%
2018-02-17T12:57:15Jocelyn Larouchelow 4M290365758073146---0.343--4.083%
2020-03-18T16:08:35masserManual testing500000020000000012---1.750--8.510%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-13T03:57:00Sturle Sundeklughardt.ifi260261--0.053--
2011-12-11T01:43:00Grant McCrackenthumper261262--0.106--
2013-01-07T13:47:00dbaughManual testing262263--0.338--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.676--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.287--
2016-02-22T09:35:49ramgeisManual testing265266--2.574--
2017-11-16T23:15:04Gordon SpenceManual testing266267--5.147--
2018-12-17T01:16:48chuenkitManual testing267268--10.29--
2021-06-07T10:35:43TJAOIManual testing268269--20.59--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.209 GHz-days
Estimated T-Level:21.875
DigitsB1CurvesCompleteFacMiss
2011000105 / 1001.05034.809%
2550000105 / 2800.37568.683%

New Calculation Method

Total ECM effort:11.209 GHz-days
Estimated T-Level:21.875
DigitsB1CompleteFacMiss
20110003.4183.277%
25500000.30973.394%
302500000.01998.112%


ECM Summary

B1B2factorcurvesGHz-days
500005000000848.804
50000500000070.734
50000645000070.826
50000675000070.846


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computersA8787022BD5546360.224
2018-10-01T01:52:29kkmrkkblmbrbkoldA8787022BD5546360.224


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-27T05:09:12GANLMS-11
440002242039376564581623
187C9034A43550E9no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2903657, B2 = 5807314 (P-1 stage 2)
B1 = 2903657 (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 = 1200000 (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 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-27T05:09:12+00:00