is 2 3009023 - 1
has 905807 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-L1BB648C352C84DDAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.808767.6471 %10000001199121000.92297.4579 %20.731770.0599 %
Target2641.182965.6250 %1300010000000.00821.3878 %1.191166.1020 %
Difference+4+18.6258+2.0221 %+987000+118912100+0.9147+6.0701%+19.5405+3.9579 %

Known prime factors (1 factor, 68.7 bits, 0.00228273% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30090234754354759588395707532168.68879001635407712
25 × 2468801106491
2013-09-0932246880110649119.80916,60031,004

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.313%
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.569%
2009-08-03USAFSSP4_260035000516250--0.0082.353%
2010-10-26Rob_Deetwopc50000100000--0.0071.441%
2010-10-27Rob_Deetwopc100000150000--0.0131.803%
2010-10-28Rob_Deetwopc150000200000--0.0192.069%
2010-10-29Rob_Deetwopc200000250000--0.0252.286%
2010-10-30Rob_Deetwopc250000300000--0.0312.471%
2010-10-31Rob_Deetwopc300000350000--0.0372.632%
2010-11-01Rob_Deetwopc350000400000--0.0442.776%
2010-11-02Rob_Deetwopc400000450000--0.0502.907%
2010-11-03Rob_Deetwopc450000500000--0.0563.026%
2010-11-04Rob_Deetwopc500000550000--0.0623.136%
2010-11-05Rob_Deetwopc550000600000--0.0683.239%
2010-11-06Rob_Deetwopc600000650000--0.0743.334%
2010-11-07Rob_Deetwopc650000700000--0.0813.424%
2010-11-08Rob_Deetwopc700000750000--0.0873.509%
2010-11-09Rob_Deetwopc750000800000--0.0933.589%
2010-11-10Rob_Deetwopc800000850000--0.0993.665%
2010-11-11Rob_Deetwopc850000900000--0.1053.737%
2010-11-12Rob_Deetwopc900000950000--0.1113.806%
2010-11-13Rob_Deetwopc9500001000000--0.1183.873%
2010-11-14Rob_Deetwopc10000001100000--0.1243.999%
2020-06-10JossManual testing30090230090236---4.952%
2022-01-22JossManual testing1000000119912100--1.13910.410%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-02ANONYMOUSv4_computers212600.026
2009-01-25Jayson Kingatlas2602610.051
2010-09-03Sid & AndyBuzz2612620.102
2013-01-07dbaughManual testing2622630.326
2022-03-10LordJuliusManual testing263264
2022-03-10LordJuliusManual testing264265
2021-01-19JossManual testing265266
2021-03-07JossManual testing266267
2021-03-08JossManual testing267268


ECM factoring results:
Total ECM effort:0.940 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.349
50000500000060.591


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-23ANONYMOUSv4_computers1BB648C352C84DDA0.256


PRP results:
dateuseridcompidcofactorsres64
2017-10-27Oliver KruseGTX-2
475435475958839570753
7E50EE9AE548F942
2017-12-10kkmrkkblmbrbkc4.xlarge
475435475958839570753
7E50EE9AE548F942


CERT results:
No CERT results for M3009023


P-1 factor-bounds graph:
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
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 = 300902, B2 = 3009023 (P-1 stage 2)
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 = 300902 (P-1 stage 1)
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 = 516250 (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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00