is 2 498331 - 1
has 150013 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFDBF6AFA9655D543double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26759.626971.6418 %131072131072000.01433.3587 %59.641272.5943 %
Target2440.000056.8182 %900014000000.001414.3506 %0.001563.0150 %
Difference+23+59.6269+14.8236 %+122072+11707200+0.0129-10.9919 %+59.6397+9.5792 %

Known prime factors (1 factor, 96.8 bits, 0.01942825% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4983311395808455572354141052181717033096.817140048326872335269233921
3 × 5881 × 209381 × 210761 × 179877967
2012-06-282107611798779674.239e+100.17080.3126

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers500001000000--0.00219.447%
2001-12-22ANONYMOUSv4_computers2000200000--0.00011.069%
2002-06-29ANONYMOUSv4_computers32768327680012--0.00422.112%
2002-09-29ANONYMOUSv4_computers65536655360012--0.00724.757%
2003-05-04ANONYMOUSv4_computers1310721310720030--0.01427.350%
2010-12-20Rob_Deetwopc5000001000000--0.00919.933%
2010-12-21Rob_Deetwopc100000020000006--0.01822.114%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-05ANONYMOUSv4_computers212540.005
2022-03-07LordJuliusManual testing254255
2001-04-01ANONYMOUSv4_computers212560.019
2002-01-15ANONYMOUSv4_computers212570.039
2003-12-23ANONYMOUSv4_computers212580.077
2022-03-07LordJuliusManual testing258260
2011-07-26Sid & AndyBuzz2602610.308


ECM factoring results:
Total ECM effort:12.792 GHz-days
Estimated T-Level:26.435
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.013
5000050000002813.447
250000250000001449.332


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-24ANONYMOUSv4_computersFDBF6AFA9655D5430.006


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-0
139580845557235414105218171703
0BD47C9DE05E003B
2017-11-03kkmrkkblmbrbkc4.xlarge
139580845557235414105218171703
0BD47C9DE05E003B
2020-04-18Oliver KruseAddPrpType5
139580845557235414105218171703
A21C3F54D4761C3C


CERT results:
No CERT results for M498331


P-1 factor-bounds graph:
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00