is 2 8100401 - 1
has 2438464 decimal digits
takes 2.115 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
Actual26914.738466.6667 %2200000190837614040.153111.5441 %54.891570.5147 %
Target2673.668265.6716 %5500060000000.14352.5719 %3.811766.5545 %
Difference+2+11.0702+0.9950 %+2145000+1902376140+40.0097+8.9722%+51.0798+3.9602 %

Known prime factors (2 factors, 115.3 bits, 0.00142356% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8100401475493538711135.4692935
5 × 587
-55879.241e-101.390e-52.249e-5
810040110858659565471036956451272579.84567025444576577363
33 × 3307 × 37489 × 20023403
2022-05-07374892002340317,4800.42650.7714

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-05-07FlaukrotistColab_HLM22200000190837614022579.84542.5013.305%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2022-01-16FlaukrotistManual testing267268
2022-10-26FlaukrotistManual testing268269


ECM factoring results:
No ECM results for M8100401


Lucas-Lehmer results:
No L-L results for M8100401


PRP results:
dateuseridcompidcofactorsres64
2018-08-10_p95holder_TFL15_PRPt17-E_d
47549353871
C0DC41C8FAEB84F7
2018-08-12Martin RussellThunderChoad
47549353871
C0DC41C8FAEB84F7
2022-05-07FlaukrotistLenovo
47549353871
1085865956547103695645127
C0DC41C8FAEB84F7


CERT results:
dateuseridcompid
2022-05-07PPed72Unimi


P-1 factor-bounds graph:
B1 = 2200000, B2 = 1908376140 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
269
268
this exponent TF target: 67
TF double-checked to: 67
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00