is 2 117590591 - 1
has 35398296 decimal digits
takes 543.040 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
Actual277260.294364.9351%908000512908110192.87136.1278%453.165667.0838%
Target276130.146464.4737%80000014000000056.14084.2077%186.287265.9685%
Difference+1+130.1479+0.4614%+108000+372908110+136.7305+1.9201%+266.8784+1.1153%

Known prime factors (1 factor, 131.7 bits, 0.00011203% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
117590591454782472422300869450975061485829247855340131.74019337536641103405520386195758036
22 × 3 × 13 × 5897 × 14639 × 32189 × 106541 × 225461 × 1857113
2023-04-0822546118571131.160e+92.10503.0726

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2023-04-08Simon Josefssoncto490800051290811040131.740192.91,086385.76.128%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-12Mr-Plonklinux-i7-920263264--0.017--
2010-10-13hustensaftaa264265--0.032--
2012-07-07RichardFX5000_1265266--0.064--
2014-12-09tscmadmor266267--0.127--
2015-03-09SMoffatManual testing267268--0.254--
2015-03-19Red RavenManual testing268269--0.508--
2015-03-23Red RavenManual testing269270--1.017--
2015-04-02Red RavenManual testing270271--2.034--
2015-04-09Red RavenManual testing271272--4.067--
2019-12-28Niels_Mache_NextcloudManual testing272273--8.134--
2019-12-28Niels_Mache_NextcloudManual testing273274--16.27--
2021-07-01TheJudgerManual testing274275--32.54--
2021-07-01TheJudgerManual testing275276--65.07--
2022-03-01mnd9Manual testing276277--130.1--


ECM factoring results:
No ECM results for M117590591


Lucas-Lehmer results:
No L-L results for M117590591


PRP results:
No PRP results for M117590591


P-1 factor-bounds graph:
B1 = 908000, B2 = 512908110 (P-1 stage 2)
B1 = 908000 (P-1 stage 1)
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106
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105
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109
TF factor-bounds graph:
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275
274
273
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271
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268
267
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265
264
this exponent TF target: 76
TF double-checked to: 67.9
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Last modified: 2023-09-25T11:53:03+00:00