is 2 114874813 - 1
has 34580765 decimal digits
takes 504.173 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
Actual277266.448064.9351%8110002407900013.22863.7168%279.676766.2384%
Target276133.223264.4737%7000002600000013.22684.0691%146.450065.9193%
Difference+1+133.2248+0.4614%+111000-1921000+0.0019-0.3523%+133.2266+0.3191%

Known prime factors (1 factor, 96.5 bits, 0.00008403% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1148748131140213115219009923429083652233096.525496285080010972432847
859 × 13721 × 393931 × 106888783		2021-10-31393931106888783206,430,01039.43169.219

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-10-31TheJudgerManual testing81100024079000123096.52513.231,00826.463.717%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-07sasaki3mate_ma2263264--0.017--
2010-10-05RichardUNKNOWN264265--0.033--
2012-08-14sasaki3SASAKI3265266--0.065--
2014-11-23ultequlteq266267--0.130--
2015-02-15el groccoManual testing267268--0.260--
2015-02-22Josh FamestadManual testing268269--0.520--
2021-05-22ViliamFManual testing268269--0.520--
2015-02-28SMoffatManual testing269270--1.041--
2015-03-06Smok_bmvManual testing270271--2.082--
2018-12-30Niels_Mache_NextcloudManual testing271272--4.163--
2020-04-24SRBaseManual testing272273--8.327--
2020-09-25Knut Andreas BrungotManual testing273274--16.65--
2021-05-28TheJudgerManual testing274275--33.31--
2021-05-28TheJudgerManual testing275276--66.61--
2021-07-16arpcarManual testing276277--133.2--


ECM factoring results:
No ECM results for M114874813


Lucas-Lehmer results:
No L-L results for M114874813


PRP results:
No PRP results for M114874813


P-1 factor-bounds graph:
B1 = 811000, B2 = 24079000 (P-1 stage 2)
B1 = 811000 (P-1 stage 1)
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105
106
104
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: 67.7
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Last modified: 2023-03-25T13:08:14+00:00