is 2 21322481 - 1
has 6418707 decimal digits
takes 15.111 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2695.599163.7681%----5.599163.7681%0.0000%
PrimeNet2650.342261.5385%10000032000000.27635.1189%0.618563.5073%1.9688%
GPU722695.599163.7681%16000045000000.40743.8303%6.006565.1559%1.3878%
Difference----160000-4500000-0.4074-3.8303%-0.4074-1.3878%-1.3878%

Known prime factors (2 factors, 127.0 bits, 0.00059555% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213224818043426646640903291859.48118861376044
22 × 3 × 7 × 23 × 127 × 76871
2002-12-02127768710.00690.00440.0080
213224812096018931533303441692167.5064915044669364
22 × 31 × 1021 × 38822191
2022-09-221021388221912.15942.17454.0595

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2132248116859174525758767968414832192087444160139126.987
P-1 results:
No P-1 results for M21322481


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2002-12-02T00:00:00ANONYMOUSv4_computers??59.481180.00331.140.007
2003-10-31T00:00:00ANONYMOUSv4_computers??59.481180.00331.140.007
2001-08-04T00:00:00Jocelyn Larouchev4_computers21255--0.000--
2001-08-04T00:00:00ANONYMOUSv4_computers21257--0.001--
2022-09-25T06:23:19LordJuliusManual testing25726559.481180.00631.140.012
2022-09-25T06:23:19LordJuliusManual testing265266--0.350--
2022-09-25T06:23:20LordJuliusManual testing266267--0.701--
2022-09-22T09:51:00TJAOIManual testing267268*67.506210.76630.811.561
2022-09-25T06:23:20LordJuliusManual testing26726867.506210.76630.811.561
2022-09-25T06:23:20LordJuliusManual testing268269--2.804--


ECM factoring results:
No ECM results for M21322481


Lucas-Lehmer results:
No L-L results for M21322481


PRP results:
No PRP results for M21322481


P-1 factor-bounds graph:
101
102
103
104
101
102
103
104
105
106
107
108
TF factor-bounds graph:
269
268
267
266
265
257
255
2
250
260
270
280
290
2100
Last modified: 2022-09-25T06:23:20+00:00