is 2 3003167 - 1
has 904044 decimal digits
takes 0.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4061EAE923920A2Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272318.441769.4444 %32792856186919279216.394510.4226 %334.836372.6291 %
Target2641.185265.6250 %1300010000000.00821.3872 %1.193466.1019 %
Difference+8+317.2565+3.8194 %+32779856+1868192792+16.3863+9.0354%+333.6428+6.5273 %

Known prime factors (1 factor, 72.4 bits, 0.00241160% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
300316763377890809216380583192272.4241055184257305977
3 × 351728085768659
2021-07-223351728085768659318.442,364,9414,417,052

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.313%
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.569%
2009-05-28Rob_Deetwopc35000560000--0.0082.402%
2010-06-28Rob_Deetwopc50000100000--0.0071.440%
2010-06-29Rob_Deetwopc100000150000--0.0131.802%
2010-06-30Rob_Deetwopc150000200000--0.0192.068%
2010-07-01Rob_Deetwopc200000250000--0.0252.285%
2010-07-02Rob_Deetwopc250000300000--0.0312.470%
2010-07-03Rob_Deetwopc300000350000--0.0372.631%
2010-07-04Rob_Deetwopc350000400000--0.0442.776%
2010-07-05Rob_Deetwopc400000450000--0.0502.906%
2010-07-06Rob_Deetwopc450000500000--0.0563.025%
2010-07-07Rob_Deetwopc500000550000--0.0623.135%
2010-07-08Rob_Deetwopc550000600000--0.0683.238%
2010-07-09Rob_Deetwopc600000650000--0.0743.333%
2010-07-10Rob_Deetwopc650000700000--0.0813.423%
2010-07-11Rob_Deetwopc700000750000--0.0873.508%
2010-07-12Rob_Deetwopc750000800000--0.0933.588%
2010-07-13Rob_Deetwopc800000850000--0.0993.664%
2010-07-14Rob_Deetwopc850000900000--0.1053.736%
2010-07-15Rob_Deetwopc900000950000--0.1113.805%
2010-07-16Rob_Deetwopc9500001000000--0.1183.872%
2010-07-17Rob_Deetwopc10000001100000--0.1243.998%
2016-07-21treborLaptop16500004620000012--0.5039.438%
2016-08-07treborLaptop165000012000000012--0.99910.823%
2016-09-12treborLaptop165000030000000012--2.21012.141%
2018-11-07oodairacom532792856186919279212--16.3917.137%
2022-01-20JossManual testing10000001222807950--10.2913.559%
2022-07-27JossManual testing30031673018308370--25.4816.076%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-07ANONYMOUSv4_computers212600.026
2009-01-24Jayson Kingatlas2602610.051
2010-08-22Sid & AndyBuzz2612620.102
2013-01-07dbaughManual testing2622630.327
2013-12-13krackerManual testing2632640.654
2013-12-20David CampeauManual testing2642651.244
2015-05-30ThaManual testing2652662.488
2016-08-20treborManual testing2662674.977
2016-08-20treborManual testing2672689.95
2017-09-04YxinityManual testing26826919.91
2022-01-15JossManual testing268269
2017-09-04YxinityManual testing26927039.81
2020-02-01mikrManual testing27027179.63
2020-02-01mikrManual testing271272159.3


ECM factoring results:
Total ECM effort:9.390 GHz-days
Estimated T-Level:21.440
DigitsB1CompleteFacMiss
20110003.1074.474%
25500000.28874.974%
302500000.01898.197%


ECM Summary

B1B2factorcurvesGHz-days
500005000000677.676
50000635000070.909
50000675000060.804


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-07ANONYMOUSv4_computers4061EAE923920A2B0.256
2012-08-30kdgehmani5-2500k4061EAE923920A2B0.256


PRP results:
dateuseridcompidcofactorsres64
2021-07-24kutensryzen2
6337789080921638058319
D9D3842EB1EBFE57


CERT results:
dateuseridcompid
2021-07-24James HeinrichXXL


P-1 factor-bounds graph:
B1 = 3003167, B2 = 3018308370 (P-1 stage 2)
B1 = 32792856, B2 = 1869192792 (P-1 stage 2)
B1 = 1000000, B2 = 1222807950 (P-1 stage 2)
B1 = 32792856 (P-1 stage 1)
B1 = 1650000, B2 = 300000000 (P-1 stage 2)
B1 = 1650000, B2 = 120000000 (P-1 stage 2)
B1 = 1650000, B2 = 46200000 (P-1 stage 2)
B1 = 3003167 (P-1 stage 1)
B1 = 1650000 (P-1 stage 1)
B1 = 1000000, B2 = 1100000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 950000, B2 = 1000000 (P-1 stage 2)
B1 = 950000 (P-1 stage 1)
B1 = 900000, B2 = 950000 (P-1 stage 2)
B1 = 900000 (P-1 stage 1)
B1 = 850000, B2 = 900000 (P-1 stage 2)
B1 = 850000 (P-1 stage 1)
B1 = 800000, B2 = 850000 (P-1 stage 2)
B1 = 800000 (P-1 stage 1)
B1 = 750000, B2 = 800000 (P-1 stage 2)
B1 = 750000 (P-1 stage 1)
B1 = 700000, B2 = 750000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 650000, B2 = 700000 (P-1 stage 2)
B1 = 650000 (P-1 stage 1)
B1 = 600000, B2 = 650000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 550000, B2 = 600000 (P-1 stage 2)
B1 = 550000 (P-1 stage 1)
B1 = 500000, B2 = 550000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 450000, B2 = 500000 (P-1 stage 2)
B1 = 450000 (P-1 stage 1)
B1 = 400000, B2 = 450000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 350000, B2 = 400000 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 300000, B2 = 350000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 250000, B2 = 300000 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
B1 = 200000, B2 = 250000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 150000, B2 = 200000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000, B2 = 150000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 35000, B2 = 560000 (P-1 stage 2)
B1 = 50000, B2 = 100000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.44 ~= 55-bit
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Last modified: 2024-03-03T02:29:32+00:00