is 2 112252289 - 1
has 33791307 decimal digits
takes 492.663 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
Actual277272.673064.9351%4500000450000028.63752.7442%301.310565.8973%
Target276136.335764.4737%7000002600000013.22684.0578%149.562565.9153%
Difference+1+136.3373+0.4614%+3800000-21500000+15.4107-1.3136%+151.7480-0.0179%

Known prime factors (1 factor, 89.7 bits, 0.00007994% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11225228910308042278482431219665598072889.7364591461951605472927
3 × 19 × 47 × 59 × 103 × 9551 × 29528419		2021-10-219551295284192,080,72410.29619.122

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-10-20Ernst W. MayerManual testing450000045000002889.73628.64985.357.282.744%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-06argusdustycanning263264--0.017--
2010-09-24CommasterCore-i7264265--0.033--
2012-08-01Andrew Bdell_xps_17265266--0.067--
2013-10-06PascalBieriManual testing266267--0.133--
2013-10-14PascalBieriManual testing267268--0.266--
2013-11-16SMoffatManual testing268269--0.533--
2014-12-19AK76Manual testing269270--1.065--
2014-12-19AK76Manual testing270271--2.130--
2019-01-05Niels_Mache_NextcloudManual testing271272--4.261--
2020-04-20SRBaseManual testing272273--8.521--
2020-09-25LOBESGPU72_TF273274--17.04--
2020-11-21AyczlyManual testing274275--34.08--
2020-12-04arpcarManual testing275276--68.17--
2021-01-08arpcarManual testing276277--136.3--


ECM factoring results:
No ECM results for M112252289


Lucas-Lehmer results:
No L-L results for M112252289


PRP results:
No PRP results for M112252289


P-1 factor-bounds graph:
B1 = 4500000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
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: 2023-03-22T19:21:31+00:00