is 2 109442117 - 1
has 32945361 decimal digits
takes 480.329 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
Actual276139.836464.4737%5500000550000035.00143.2104%174.837865.6142%1.1405%
PrimeNet2728.738362.5000%4500002400000011.02915.5041%19.767364.5640%2.0640%
GPU72276139.836464.4737%7000002400000012.53343.9856%152.369865.8896%1.4159%
Difference---+4800000-18500000+22.4680-0.7752%+22.4680-0.2754%-0.2754%

Known prime factors (1 factor, 78.5 bits, 0.00007176% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1094421174392913409211109658351032478.5402006957435413603
439 × 66713 × 68527229
2021-06-276671368527229920.5124.16144.377

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-27T02:11:59Paul UnderwoodManual testing550000055000002478.54035.00960.770.003.210%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-04T01:22:00RichardUNKNOWN263264--0.018--
2010-09-14T14:40:00Aliali-pone264265--0.034--
2012-05-25T07:46:00omiXorpLLB03-z800-08265266--0.068--
2013-10-12T06:12:00Cow_tippingManual testing266267--0.137--
2013-10-15T09:34:00RobishManual testing267268--0.273--
2013-10-17T16:06:00RobishManual testing268269--0.546--
2013-10-21T08:56:00RobishManual testing269270--1.092--
2013-11-25T21:36:00rlakeManual testing270271--2.185--
2013-11-25T21:36:00rlakeManual testing271272--4.370--
2020-03-19T21:30:43DiophantusManual testing272273--8.740--
2020-08-16T04:24:35storm5510Manual testing273274--17.48--
2021-05-04T05:38:01mognutsGPU72_TF274275--34.96--
2021-05-05T17:55:48TheJudgerManual testing275276--69.92--


ECM factoring results:
No ECM results for M109442117


Lucas-Lehmer results:
No L-L results for M109442117


PRP results:
No PRP results for M109442117


P-1 factor-bounds graph:
B1 = 5500000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
264
250
260
270
280
290
2100
Last modified: 2021-06-27T02:11:59+00:00