is 2 109418693 - 1
has 32938309 decimal digits
takes 480.226 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
Actual276139.866464.4737%5480002107200010.60353.7624%150.469965.8103%1.3367%
PrimeNet2728.740162.5000%4500002400000011.02915.5040%19.769264.5640%2.0640%
GPU72276139.866464.4737%7000002400000012.53343.9855%152.399765.8896%1.4159%
Difference----152000-2928000-1.9298-0.2231%-1.9298-0.0792%-0.0792%

Known prime factors (1 factor, 122.8 bits, 0.00011221% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
109418693909754655142513635454722484302960529737122.77541572177029317725237986642936
23 × 32 × 73 × 19 × 31 × 37 × 709 × 19753 × 446111 × 12363371
2022-03-12446111123633711.269e+96.97108.0063

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-03-12T03:01:39Ryan PropperManual testing5480002107200037122.77510.60960.521.213.762%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-06-28T11:45:00James Hintzmom3263264--0.018--
2010-09-14T12:00:00Donna NobleHTPC-V64264265--0.034--
2012-07-24T05:16:00sasaki3mate_ma1265266--0.068--
2013-09-28T16:49:00RobishManual testing266268--0.410--
2013-09-28T16:49:00RobishManual testing268269--0.546--
2014-11-04T13:48:00symallad6corething269270--1.093--
2014-11-09T13:59:00symallad6corething270271--2.185--
2019-01-25T10:42:21Niels_Mache_NextcloudManual testing271272--4.371--
2020-02-28T22:53:28Knut Andreas BrungotManual testing272273--8.742--
2020-08-13T14:17:17storm5510Manual testing273274--17.48--
2021-05-02T21:14:56TheJudgerManual testing274275--34.97--
2021-05-02T21:14:56TheJudgerManual testing275276--69.93--


ECM factoring results:
No ECM results for M109418693


Lucas-Lehmer results:
No L-L results for M109418693


PRP results:
No PRP results for M109418693


P-1 factor-bounds graph:
B1 = 548000, B2 = 21072000 (P-1 stage 2)
B1 = 548000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
266
265
264
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-03-12T03:11:56+00:00