is 2 6505351 - 1
has 1958306 decimal digits
takes 1.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6D6F81D41C800AB1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.567665.6716 %1090001241058001.86566.5121 %6.433367.9071 %
Target2662.270265.1515 %4500050000000.08562.5794 %2.355866.0504 %
Difference+1+2.2974+0.5201 %+64000+119105800+1.7800+3.9326%+4.0775+1.8567 %

Known prime factors (2 factors, 156.8 bits, 0.00241107% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6505351304758226904421576035032374.6902342365745556401
1543 × 1518059459207
2017-02-0115431518059459207588.1122,47841,983
650535153976398329189701048627292582.159414861537288223964
22 × 131 × 6257 × 32117 × 3939769
2023-11-13321173939769150,5630.06660.1090

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-03-05ANONYMOUSv4_computers30000217500--0.0111.544%
2001-10-06ANONYMOUSv4_computers35000472500--0.0162.012%
2012-12-09NesowaLaptop7500012937506--0.0383.032%
2023-11-13Stef42128G10900012410580022582.1592.1707.196%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-30ANONYMOUSv4_computers212620.047
2016-02-23Mark RoseManual testing2622630.151
2014-07-20NesowaManual testing2632640.302
2014-07-29lycornManual testing2642650.574
2015-10-27snme2pm1Manual testing2652661.149
2016-04-15Gordon SpenceManual testing2662672.297


ECM factoring results:
Total ECM effort:1.425 GHz-days
Estimated T-Level:0.962
DigitsB1CompleteFacMiss
20110000.19282.505%
25500000.01898.236%
302500000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.855
50000500000020.570


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10ANONYMOUSv4_computers4C8E35CA29D301351.219
2001-06-30ANONYMOUSv4_computers6D6F81D41C800AB11.219
2001-10-13ANONYMOUSv4_computers6D6F81D41C800AB11.219


PRP results:
dateuseridcompidcofactorsres64
2017-12-21Chun sung sooTae-Hee_Lee
30475822690442157603503
BD6B50D044522E99
2018-09-30rucio
30475822690442157603503
BD6B50D044522E99
2023-11-13Stef42128G
30475822690442157603503
5397639832918970104862729
BD6B50D044522E99


CERT results:
dateuseridcompid
2023-11-13curtiscwcm220a-03l


P-1 factor-bounds graph:
B1 = 109000, B2 = 124105800 (P-1 stage 2)
B1 = 75000, B2 = 1293750 (P-1 stage 2)
B1 = 109000 (P-1 stage 1)
B1 = 75000 (P-1 stage 1)
B1 = 35000, B2 = 472500 (P-1 stage 2)
B1 = 30000, B2 = 217500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=0.96 ~= -13-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00