is 2 117901397 - 1
has 35491858 decimal digits
takes 544.475 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
Actual277259.608264.9351%1000000477526140180.54556.1546%440.153767.0932%
Target276129.803364.4737%80000014000000056.14084.2090%185.944165.9690%
Difference+1+129.8048+0.4614%+200000+337526140+124.4047+1.9456%+254.2095+1.1242%

Known prime factors (1 factor, 133.8 bits, 0.00011347% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1179013971870603981079546694012380987791342679596941133.78179329169487260048920895355794272
25 × 32 × 73 × 251 × 257 × 20177 × 45377 × 305423 × 209178287
2023-05-133054232091782871.302e+978.248142.53

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2023-05-13Mihai Predax2100000047752614041133.781180.51,089361.16.155%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-12carlos56xp10263264--0.017--
2010-10-20ScoutLisa264265--0.032--
2012-07-10Koekieuio265266--0.063--
2014-12-12Jan KuipersWerkcomputer266267--0.127--
2015-03-26Judge HaleManual testing267268--0.254--
2015-08-10el groccoManual testing268269--0.507--
2015-08-19AirSquirrelsManual testing269270--1.014--
2015-08-20cnaTb_xo4yASUS270271--2.028--
2015-08-23cnaTb_xo4yASUS271272--4.056--
2019-11-21Niels_Mache_NextcloudManual testing272273--8.113--
2019-11-21Niels_Mache_NextcloudManual testing273274--16.23--
2021-03-13jwnutterManual testing274275--32.45--
2021-03-13jwnutterManual testing275276--64.90--
2022-03-02La GüiraManual testing276277--129.8--


ECM factoring results:
No ECM results for M117901397


Lucas-Lehmer results:
No L-L results for M117901397


PRP results:
No PRP results for M117901397


P-1 factor-bounds graph:
B1 = 1000000, B2 = 477526140 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
104
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: 67.9
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2120
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2140
Last modified: 2023-09-25T11:53:03+00:00