is 2 109459621 - 1
has 32950630 decimal digits
takes 480.406 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
Actual276139.814164.4737%5500000550000035.00143.2104%174.815465.6142%1.1406%
PrimeNet2728.736962.5000%4500002400000011.02915.5042%19.765964.5641%2.0641%
GPU72276139.814164.4737%7000002400000012.53343.9857%152.347465.8897%1.4160%
Difference---+4800000-18500000+22.4680-0.7752%+22.4680-0.2754%-0.2754%

Known prime factors (1 factor, 93.8 bits, 0.00008572% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
109459621176136866586590404799630099992993.83180457462294059288219
47 × 7547 × 1680253 × 134995547
2021-07-10168025313499554727,841,91356.91687.420

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-07-10T13:23:41Ernst W. MayerManual testing550000055000002993.83135.00960.870.003.210%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-06-28T04:51:00Jud McCranieupstairs263264--0.018--
2010-09-14T23:21:00Donna NobleATH2-630-temp264265--0.034--
2012-05-25T08:36:00omiXorpLLB03-z800-10265266--0.068--
2013-10-12T06:12:00Cow_tippingManual testing266267--0.137--
2013-10-16T15:06:00ANONYMOUSManual testing267268--0.273--
2014-08-02T04:13:00Ordinalux Inc.Manual testing268269--0.546--
2015-08-17T07:32:00g0bManual testing269270--1.092--
2015-08-18T14:58:00maxaManual testing270271--2.185--
2019-01-23T17:53:04Niels_Mache_NextcloudManual testing271272--4.369--
2020-02-25T20:53:51Maciej KmieciakManual testing272273--8.738--
2020-08-17T10:55:10XZTManual testing273274--17.48--
2021-05-05T17:53:51TheJudgerManual testing274275--34.95--
2021-05-05T17:53:52TheJudgerManual testing275276--69.91--


ECM factoring results:
No ECM results for M109459621


Lucas-Lehmer results:
No L-L results for M109459621


PRP results:
No PRP results for M109459621


P-1 factor-bounds graph:
B1 = 5500000 (P-1 stage 1)
105
106
107
105
106
107
108
109
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
264
250
260
270
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290
2100
Last modified: 2021-07-10T13:23:41+00:00