is 2 12724763 - 1
has 3830536 decimal digits
takes 5.198 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.335164.1791 %40000042845985014.05019.9897 %16.385267.7575 %
Target2684.684264.7059 %90000110000000.40543.0985 %5.089565.7995 %
Difference-1-2.3490-0.5268 %+310000+417459850+13.6447+6.8912%+11.2957+1.9581 %

Known prime factors (4 factors, 241.9 bits, 0.00190109% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12724763669959026445271445.9292632501
172 × 9109
-28991096.650e-70.00050.0005
12724763483060494733347531755.4231898111952
24 × 32 × 11 × 1198303
2014-08-231611983030.00070.03870.0722
1272476312931186969221160791960.16650811111253
7 × 7258730179
2016-01-18772587301790.0124234.23437.48
1272476315859021977712365881043912580.39262315588815730265
3 × 5 × 17 × 37 × 61169 × 107975051
2022-05-046116910797505128,9273.51856.5077

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-05-03nordisweet16_30.8b14400000400000
skipped known factor: 66995902644527
--0.2372.159%
2022-05-04nordisweet16_30.8b1440000042845985022580.39216.479.182%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-01-24TJAOIManual testing255256*
55.423
17
0.000
2016-01-18TJAOIManual testing260261*
60.166
19
0.002


ECM factoring results:
No ECM results for M12724763


Lucas-Lehmer results:
No L-L results for M12724763


PRP results:
dateuseridcompidcofactorsres64
2022-05-05XZT800G2Mini11
66995902644527
48306049473334753
1293118696922116079
5E1815C8D155B678
2023-03-04Naegi Makoto5950X
66995902644527
48306049473334753
1293118696922116079
1585902197771236588104391
5E1815C8D155B678


CERT results:
dateuseridcompid
2022-05-05kutens
2023-03-04Jim Donovanyoga


P-1 factor-bounds graph:
B1 = 400000, B2 = 428459850 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 68
TF double-checked to: 67
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00