is 2 112797131 - 1
has 33955320 decimal digits
takes 495.054 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
Actual277271.355964.9351%4500000450000028.63752.7458%299.993465.8979%
Target276135.677264.4737%7000002600000013.22684.0601%148.904065.9161%
Difference+1+135.6787+0.4614%+3800000-21500000+15.4107-1.3143%+151.0894-0.0182%

Known prime factors (1 factor, 89.3 bits, 0.00007916% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1127971317565164449469641502750953432789.2903353438328794746341
3 × 107 × 181 × 1011719 × 57048839		2021-11-261011719570488392,184,70825.86836.944

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-11-20Paul UnderwoodManual testing450000045000002789.29028.64990.157.282.746%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-05sasaki3MATE_J263264--0.017--
2010-09-26CommasterCore-i7264265--0.033--
2012-06-02oodairaWin02265266--0.066--
2014-11-11dhzjadhzja266267--0.132--
2015-02-11Preben SManual testing267268--0.265--
2015-02-18Preben SManual testing268269--0.530--
2015-03-01La GüiraManual testing269270--1.060--
2015-03-05vinculumfuzzy270271--2.120--
2018-03-11el groccoManual testing271272--4.240--
2020-04-21SRBaseManual testing272273--8.480--
2020-07-26Daniil TsarkovManual testing273274--16.96--
2020-11-26arpcarManual testing274275--33.92--
2020-11-29arpcarManual testing275276--67.84--
2020-12-29arpcarManual testing276277--135.7--


ECM factoring results:
No ECM results for M112797131


Lucas-Lehmer results:
No L-L results for M112797131


PRP results:
No PRP results for M112797131


P-1 factor-bounds graph:
B1 = 4500000 (P-1 stage 1)
105
106
107
105
106
107
108
TF factor-bounds graph:
277
276
275
274
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67.7
250
260
270
280
290
Last modified: 2023-03-25T13:08:14+00:00