echo 'lift(Mod(((1503620694840788262112143703 - 1) / 2 / 209025227), 4620))' | '/usr/bin/gp' -q
echo 'lift(Mod(((1503620694840788262112143703 - 1) / 2 / 209025227), 4620))' | '/usr/bin/gp' -q
echo 'lift(Mod(((1503620694840788262112143703 - 1) / 2 / 209025227), 4620))' | '/usr/bin/gp' -q
M209 025 227 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 | 73.2160 | 63.1579 % | 1000000 | 1000000 | 12.7378 | 1.9074 % | 85.9539 | 63.8606 % |
---|
Target | 279 | 585.7340 | 64.5570 % | 1300000 | 250000000 | 189.1553 | 4.0233 % | 774.8893 | 65.9830 % |
---|
Difference | -3 | -512.5180 | -1.3991 % | -300000 | -249000000 | -176.4174 | -2.1159 % | -688.9355 | -2.1223 % |
---|
Known prime factors (1 factor, 90.3 bits, 0.00004319% known):
P-1 results:date | user | comp | B1 | B2 | BS | stage | factor | digits | bits* | GHz-days | Fac Prob |
---|
2020-12-11 | Albrecht Heeffer | Manual testing | 1000000 | 1000000 | | 1 | | 28 | 90.280 | 12.45 | 1.364% |
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 |
| Bits | Factor |
---|
date | userid | compid | from | to | factor | bits* | digits | GHz-days |
---|
2011-05-16 | Anton | voltar | 264 | 265 | | | | 0.018 |
2013-08-08 | ANONYMOUS | | 265 | 266 | | | | 0.036 |
2015-10-11 | Conductor | Andrew | 266 | 267 | | | | 0.072 |
2016-09-05 | Derek | Manual testing | 267 | 268 | | | | 0.143 |
2016-09-26 | La Güira | Manual testing | 268 | 269 | | | | 0.286 |
2016-09-26 | La Güira | Manual testing | 269 | 270 | | | | 0.572 |
2019-12-06 | Chabot Prime | CC3906-35 | 270 | 271 | | | | 1.144 |
2020-06-11 | SRBase | Manual testing | 271 | 272 | | | | 2.288 |
2020-09-01 | jiafeimao615 | Manual testing | 272 | 273 | | | | 4.576 |
2020-09-01 | jiafeimao615 | Manual testing | 273 | 274 | | | | 9.152 |
2020-09-01 | jiafeimao615 | Manual testing | 274 | 275 | | | | 18.30 |
2020-09-01 | jiafeimao615 | Manual testing | 275 | 276 | | | | 36.61 |
ECM factoring results:No ECM results for
M209025227
Lucas-Lehmer results:No L-L results for
M209025227
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 = 1000000 (P-1 stage 1)
103
104
105
106
103
104
105
106
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
this exponent TF target: 79
250
260
270
280
290
2100
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