is 2 22369027 - 1
has 6733749 decimal digits
takes 16.311 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
Actual2682.664663.2353%----2.664663.2353%0.0000%
PrimeNet2650.326261.5385%10000032000000.28435.1521%0.610563.5200%1.9816%
GPU722695.337163.7681%17000050000000.45803.9760%5.795165.2087%1.4406%
Difference-1-2.6725-0.5328%-170000-5000000-0.4580-3.9760%-3.1305-1.9734%-1.9734%

Known prime factors (3 factors, 159.6 bits, 0.00071350% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22369027718951712293511446.0311607025
3 × 52 × 7 × 3061
-2530617.715e-70.00020.0003
2236902748035823016413371652.093107371284
22 × 3 × 137 × 241 × 271
2014-07-262412714.124e-50.00030.0005
2236902732148792127355313911961.47971860059285
3 × 5 × 7 × 3271 × 209227
2016-05-0232712092270.01900.01530.0225

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
223690273453543720907839087473692822873098.124
2236902723113429148130216945191972105724133107.510
223690271544293688821103337329567818670976735113.573
22369027111027259186199314670788833199320571363522877121749159.603
P-1 results:
No P-1 results for M22369027


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-07-26T11:41:00TJAOIManual testing??52.093161.44207e-533.632.97316e-5
2016-05-02T16:18:19TJAOIManual testing261262*61.479190.00533.600.011
2022-06-24T04:22:37LordJuliusManual testing262265--0.299--
2022-06-24T04:22:37LordJuliusManual testing265266--0.334--
2022-06-24T04:22:37LordJuliusManual testing266267--0.668--
2022-04-11T21:42:07LordJuliusManual testing267268--1.336--


ECM factoring results:
No ECM results for M22369027


Lucas-Lehmer results:
No L-L results for M22369027


PRP results:
No PRP results for M22369027


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
TF factor-bounds graph:
268
267
266
265
262
2
240
250
260
270
280
290
2100
Last modified: 2022-06-24T04:22:37+00:00