is 2 1292729 - 1
has 389151 decimal digits
takes 0.041 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2813ABA4B9A5DC1Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26722.985468.6567%300000100000000.03814.2013%23.023569.9735%1.3168%
PrimeNet2560.007462.5000%5500900000.00052.4530%0.007963.4199%0.9199%
GPU722600.118865.0000%5500360000.00030.9337%0.119165.3268%0.3268%
Difference+7+22.8666+3.6567%+294500+9964000+0.0377+3.2676%+22.9044+4.6467%+4.6467%

Known prime factors (1 factor, 63.3 bits, 0.00489900% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1292729115999992566030043532063.3314486632254944
25 × 7 × 2383 × 8405207
2009-09-27238384052072.32070.02110.0393

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.241%
unknown30000010000000---0.038--4.201%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-09T00:00:00ANONYMOUSv4_computers21258--0.030--
2003-06-17T00:00:00ANONYMOUSv4_computers21258--0.030--
2022-03-07T17:32:07LordJuliusManual testing258260--0.089--
2009-04-09T04:02:00Sturle Sundeeberlin.ifi260261--0.119--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.689 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000299 / 1002.9904.954%
2550000299 / 2801.06834.309%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:20.689 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.5770.000%
25500001.64419.326%
302500000.14086.905%
3510000000.01099.023%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002499.60
250000350000005011.09


Lucas-Lehmer results:
No L-L results for M1292729


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T23:45:13Oliver KruseGTX-0
11599999256603004353
707657AB0F01A0__no
2017-10-22T12:14:59kkmrkkblmbrbkc4.xlarge
11599999256603004353
707657AB0F01A0__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
TF factor-bounds graph:
267
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:32:07+00:00