is 2 112259701 - 1
has 33793538 decimal digits
takes 492.695 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual277272.655064.9351%1237000417486300152.19506.1875%424.850067.1047%
Target276136.326764.4737%7000002600000013.22684.0578%149.553565.9153%
Difference+1+136.3283+0.4614%+537000+391486300+138.9682+2.1297%+275.2965+1.1894%

Known prime factors (2 factors, 193.9 bits, 0.00017271% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11225970177874647992195988026141032582.68734685041603752351
32 × 7 × 79 × 23747 × 293471429
2022-10-042374729347142917,093101.90190.05
112259701297167651092184835262823133377360934111.19513235722545358678412248004
22 × 19 × 103 × 269 × 44249 × 765991 × 185445983
2022-10-047659911854459831.624e+968.907120.09

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-22Ryan PropperManual testing51200019323000---9.78--3.331%
2022-10-04Runtime ErrorEnfilade123700041748630059193.882152.2985.4304.46.187%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-04subgeniusgigacare263264--0.017--
2010-09-25sasaki3value264265--0.033--
2012-05-31omiXorpLLB03-z800-09265266--0.067--
2013-10-06PascalBieriManual testing266267--0.133--
2013-10-14PascalBieriManual testing267268--0.266--
2013-11-16SMoffatManual testing268269--0.533--
2014-12-21AK76Manual testing269270--1.065--
2014-12-21AK76Manual testing270271--2.130--
2019-01-05Niels_Mache_NextcloudManual testing271272--4.260--
2020-04-20SRBaseManual testing272273--8.521--
2020-09-25LOBESGPU72_TF273274--17.04--
2021-01-14arpcarManual testing274275--34.08--
2021-01-17arpcarManual testing275276--68.16--
2022-04-03TheJudgerManual testing276277--136.3--


ECM factoring results:
No ECM results for M112259701


Lucas-Lehmer results:
No L-L results for M112259701


PRP results:
No PRP results for M112259701


P-1 factor-bounds graph:
B1 = 1237000, B2 = 417486300 (P-1 stage 2)
B1 = 512000, B2 = 19323000 (P-1 stage 2)
B1 = 1237000 (P-1 stage 1)
B1 = 512000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
277
276
275
274
273
272
271
270
269
268
267
266
265
264
250
260
270
280
290
2100
2110
2120
Last modified: 2022-10-04T21:26:43+00:00