is 2 109442131 - 1
has 32945365 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, 82.5 bits, 0.00007539% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10944213168984613734860909674825372582.51331516479578993628
22 × 3 × 29 × 79 × 150203 × 7632253
2021-06-27150203763225317,8763.55014.9425

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-27T02:12:00Paul UnderwoodManual testing550000055000002582.51335.00960.770.003.210%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-04T00:50:00RichardUNKNOWN263264--0.018--
2010-09-14T16:06:00vapaddydebian264265--0.034--
2012-05-25T07:45:00omiXorpLLB03-z800-18265266--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--
2020-08-16T06:55:10XZTManual testing273274--17.48--
2021-05-04T11:51:21LOBESManual testing274275--34.96--
2021-05-05T17:56:01TheJudgerManual testing275276--69.92--


ECM factoring results:
No ECM results for M109442131


Lucas-Lehmer results:
No L-L results for M109442131


PRP results:
No PRP results for M109442131


P-1 factor-bounds graph:
B1 = 5500000 (P-1 stage 1)
104
105
106
107
104
105
106
107
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: 2021-06-27T02:12:00+00:00