echo 'lift(Mod(((14664501169404088215023 - 1) / 2 / 135000799), 4620))' | '/usr/bin/gp' -q
echo 'lift(Mod(((14664501169404088215023 - 1) / 2 / 135000799), 4620))' | '/usr/bin/gp' -q
echo 'lift(Mod(((14664501169404088215023 - 1) / 2 / 135000799), 4620))' | '/usr/bin/gp' -q
M135 000 799 Mersenne number exponent details
| Last-known PrimeNet details:
Exponent is not assigned to anyone 0 primality tests remaining
| Residue | Status |
---|
L-L | -unknown- | -unknown- |
---|
PRP | -unknown- | -unknown- |
---|
|
| Trial Factoring | P-1 Factoring | Combined |
---|
Limit | GHz-days | Probability | B1 | B2 | GHz-days | Probability | GHz-days | Probability |
---|
Actual | 273 | 14.1691 | 61.6438 % | 1375000 | 1375000 | 11.1041 | 2.7929 % | 25.2732 | 62.7151 % |
---|
Target | 277 | 226.7258 | 63.6364 % | 800000 | 150000000 | 72.1065 | 3.9426 % | 298.8323 | 65.0701 % |
---|
Difference | -4 | -212.5567 | -1.9925 % | +575000 | -148625000 | -61.0024 | -1.1497 % | -273.5591 | -2.3549 % |
---|
Known prime factors (1 factor, 73.6 bits, 0.00005454% known):
P-1 results:date | user | comp | B1 | B2 | BS | stage | factor | digits | bits* | GHz-days | Fac Prob |
---|
2018-09-28 | timbit | Manual testing | 1375000 | 1375000 | | 1 | | 23 | 73.635 | 11.63 | 1.827% |
Trial Factoring results:57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 |
| Bits | Factor |
---|
date | userid | compid | from | to | factor | bits* | digits | GHz-days |
---|
2010-11-24 | Charles A. Morris | magnetar | 264 | 265 | | | | 0.028 |
2012-10-30 | nextPrime | MO504 | 265 | 266 | | | | 0.055 |
2015-01-24 | aurashift | usslcburnin06 | 266 | 267 | | | | 0.111 |
2016-01-22 | Derek | Manual testing | 267 | 268 | | | | 0.221 |
2016-01-22 | Derek | Manual testing | 268 | 269 | | | | 0.443 |
2016-01-25 | Adam Stinchcombe | Manual testing | 269 | 270 | | | | 0.886 |
2016-02-02 | guru | Manual testing | 270 | 271 | | | | 1.771 |
2016-02-10 | guru | Manual testing | 271 | 272 | | | | 3.543 |
2017-03-08 | Conductor | Manual testing | 272 | 273 | | | | 7.085 |
ECM factoring results:No ECM results for
M135000799
Lucas-Lehmer results:No L-L results for
M135000799
P-1 factor-bounds graph:- X = B1; Y = B2
- size of marker relates to size of factor
- mouse-over any factor marker (circle) to see additional info
- mouse-over any stage bound text to see additional info
B1 = 1375000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
this exponent TF target: 77
250
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270
280