is 2 3656833 - 1
has 1100817 decimal digits
takes 0.384 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEEBF2F9B50CF581Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27065.343668.5714 %300000006000000009.298110.3763 %74.641771.8325 %
Target2640.973365.6250 %2200020000000.01982.0369 %0.993166.3252 %
Difference+6+64.3703+2.9464 %+29978000+598000000+9.2783+8.3394%+73.6486+5.5074 %

Known prime factors (1 factor, 78.4 bits, 0.00214513% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36568334110611416076553350549032478.44456204527470581147
72 × 461 × 3673 × 677412751
2021-09-08367367741275116,7405.621210.498

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-07Carsten Kossendeymother20000250000--0.0051.743%
2012-02-01Squeeky_SquirrelP4_26009000016425006--0.0273.825%
2016-06-15JossManual testing10800032850006--0.0434.562%
2016-12-29JossManual testing129600129600---1.748%
2017-01-29JossManual testing167520167520---1.974%
2017-03-07JossManual testing24122824122806--0.0554.728%
2017-03-13Squeeky_SquirrelP4_2600230000678500012--0.0895.820%
2020-09-17axnManual testing3000000060000000012--9.29815.258%
2022-03-04JossManual testing9000090000--0.0141.455%
2022-03-22JossManual testing100000100000--0.0151.536%
2022-05-24JossManual testing100000130364850--1.3028.093%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-01-27mhoneyv4_computers212600.021
2009-03-08S485122USB-Z2602610.042
2011-05-10markroldgamer2612620.084
2012-06-05GrunwalderGIMPManual testing212630.436
2016-02-23Mark RoseManual testing2622630.268
2015-01-23VictordeHollanderManual testing2632640.537
2015-01-23VictordeHollanderManual testing2642651.022
2015-10-21ramgeisManual testing2652662.044
2016-12-30Gordon SpenceManual testing2662674.087
2019-01-14TJAOIManual testing2672688.174
2020-11-09axnManual testing26826916.35
2020-11-20axnManual testing26927032.70


ECM factoring results:
Total ECM effort:3.868 GHz-days
Estimated T-Level:20.480
DigitsB1CompleteFacMiss
20110001.03835.400%
25500000.09690.839%
302500000.00699.396%


ECM Summary

B1B2factorcurvesGHz-days
500005000000223.125
50000500000050.743


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-27mhoneyv4_computersEEBF2F9B50CF581F0.384
1999-10-29MadPoov4_computersEEBF2F9B50CF581F0.384


PRP results:
dateuseridcompidcofactorsres64
2021-09-16krackerGRID-11
411061141607655335054903
2805967EF95936DE
2021-09-17LaurVbutu
411061141607655335054903
2805967EF95936DE


CERT results:
dateuseridcompid
2021-09-17ky0urakudb1s


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 230000, B2 = 6785000 (P-1 stage 2)
B1 = 241228, B2 = 2412280 (P-1 stage 2)
B1 = 108000, B2 = 3285000 (P-1 stage 2)
B1 = 241228 (P-1 stage 1)
B1 = 230000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 167520 (P-1 stage 1)
B1 = 129600 (P-1 stage 1)
B1 = 108000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 250000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.48 ~= 51-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00