is 2 112797101 - 1
has 33955311 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-
PRP0CA5033BB6BDF392PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual277271.356064.9351%450000013500000073.88486.0084%345.240767.0419%
Target276135.677264.4737%7000002600000013.22684.0601%148.904065.9161%
Difference+1+135.6788+0.4614%+3800000+109000000+60.6580+1.9483%+196.3367+1.1258%

Known prime factors:
No known factors for M112797101

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-11-18Paul UnderwoodManual testing4500000135000000---73.88--6.008%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-052knarfChipzilla263264--0.017--
2010-09-26oilwarzonedotcomb2bwebserver264265--0.033--
2012-06-03carlos56amd600265266--0.066--
2013-10-10Balazs HegyiSamsung_M266267--0.132--
2015-02-11Preben SManual testing267268--0.265--
2015-02-18Preben SManual testing268269--0.530--
2015-03-01La GüiraManual testing269270--1.060--
2015-03-05SWL551Manual testing270271--2.120--
2015-03-05SWL551Manual 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 M112797101


Lucas-Lehmer results:
No L-L results for M112797101


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-26Paul UnderwoodManual testing0CA5033BB6BDF392no


P-1 factor-bounds graph:
B1 = 4500000, B2 = 135000000 (P-1 stage 2)
B1 = 4500000 (P-1 stage 1)
105
106
107
105
106
107
108
109
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: 67.8
250
260
270
280
Last modified: 2023-04-26T21:34:10+00:00