is 2 2904001 - 1
has 874192 decimal digits
takes 0.224 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6B35D355EB2EA7D1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26820.525167.6471 %50000002000000001.74989.1892 %22.274970.6200 %
Target2630.549665.0794 %1600015000000.01081.9095 %0.560465.7462 %
Difference+5+19.9755+2.5677 %+4984000+198500000+1.7389+7.2797%+21.7144+4.8739 %

Known prime factors (1 factor, 87.8 bits, 0.00302379% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29040012714850236668979980828045272787.81146743273102677650263
33 × 17 × 997 × 516973 × 197580197
2020-03-1951697319758019711,500,8741.26032.2517

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-02ANONYMOUSv4_computers2048204800--0.0010.688%
2009-07-03Carsten Kossendeymother15000168750--0.0031.588%
2010-12-24JossManual testing2000020000--0.0020.643%
2011-01-29markrtiny10500022837506--0.0284.553%
2015-04-25VictordeHollanderManual testing10000002000000012--0.2518.640%
2020-03-19masserManual testing50000002000000001222787.8111.92813.200%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.053
2009-02-13Sturle Sundeklughardt.ifi2602610.053
2011-07-25Rob_Deetwopc2612620.106
2013-01-10dbaughManual testing2622630.338
2015-04-25VictordeHollanderManual testing2632651.963
2016-02-22ramgeisManual testing2652662.573
2017-11-19Gordon SpenceManual testing2662675.147
2018-12-17chuenkitManual testing26726810.29


ECM factoring results:
Total ECM effort:2.830 GHz-days
Estimated T-Level:3.182
DigitsB1CompleteFacMiss
20110000.63652.921%
25500000.09990.611%
302500000.01198.917%


ECM Summary

B1B2factorcurvesGHz-days
2500002500000072.830


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27foxkidv4_computers6B35D355EB2EA7D10.224
2018-10-01kkmrkkblmbrbkold6B35D355EB2EA7D10.224


PRP results:
dateuseridcompidcofactorsres64
2020-03-20M Millercruncher
271485023666897998082804527
D01D9015F7D93D86
2020-03-20ATHec2-PRPCFDC
271485023666897998082804527
D01D9015F7D93D86


CERT results:
No CERT results for M2904001


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=3.18 ~= -6-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00