echo 'lift(Mod(((661264924197509693922401 - 1) / 2 / 334004311), 4620))' | '/usr/bin/gp' -q
[0;35m1520[0m
echo 'lift(Mod(((661264924197509693922401 - 1) / 2 / 334004311), 4620))' | '/usr/bin/gp' -q
[0;35m1520[0m
echo 'lift(Mod(((661264924197509693922401 - 1) / 2 / 334004311), 4620))' | '/usr/bin/gp' -q
[0;35m1520[0m
M334 004 311 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 | 276 | 45.8197 | 61.8421 % | 3180000 | 3180000 | 68.5886 | 3.0849 % | 114.4084 | 63.0192 % |
---|
Target | 281 | 1,466.2484 | 64.1975 % | 2000000 | 400000000 | 510.8373 | 4.0587 % | 1,977.0857 | 65.6506 % |
---|
Difference | -5 | -1,420.4287 | -2.3554 % | +1180000 | -396820000 | -442.2486 | -0.9738 % | -1,862.6773 | -2.6314 % |
---|
Known prime factors (1 factor, 79.1 bits, 0.00002369% known):
P-1 results:date | user | comp | B1 | B2 | BS | stage | factor | digits | bits* | GHz-days | Fac Prob |
---|
2020-03-14 | GAN | Manual testing | 3180000 | 3180000 | | 1 | | 24 | 79.130 | 79.54 | 1.874% |
Trial Factoring results:57 | 58 | 59 | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 | 69 | 70 | 71 | 72 | 73 | 74 | 75 | 76 | 77 | 78 | 79 | 80 | 81 |
| Bits | Factor |
---|
date | userid | compid | from | to | factor | bits* | digits | GHz-days |
---|
2012-12-08 | kracker | Manual testing | 266 | 267 | | | | 0.045 |
2014-11-14 | mikr | Manual testing | 267 | 269 | | | | 0.268 |
2014-11-14 | mikr | Manual testing | 269 | 270 | | | | 0.358 |
2016-01-05 | Jacques MOLNE | Manual testing | 270 | 271 | | | | 0.716 |
2016-01-05 | Jacques MOLNE | Manual testing | 271 | 272 | | | | 1.432 |
2019-07-16 | GAN | Manual testing | 272 | 273 | | | | 2.864 |
2019-08-20 | GAN | Manual testing | 273 | 274 | | | | 5.728 |
2019-09-07 | GAN | Manual testing | 274 | 275 | | | | 11.46 |
2019-11-03 | GAN | Manual testing | 275 | 276 | | | | 22.91 |
ECM factoring results:No ECM results for
M334004311
Lucas-Lehmer results:No L-L results for
M334004311
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 = 3180000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
TF factor-bounds graph:
276
275
274
273
272
271
270
269
267
this exponent TF target: 81
250
260
270
280