is 2 1306589 - 1
has 393323 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-LA28F28E10A5BF66Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26722.741668.6567%500000150000000.05934.8663%22.800970.1820%1.5253%
PrimeNet2560.007362.5000%60001000000.00052.5962%0.007963.4736%0.9736%
GPU722600.117665.0000%5500360000.00030.9360%0.117965.3276%0.3276%
Difference+7+22.6240+3.6567%+494500+14964000+0.0590+3.9303%+22.6830+4.8544%+4.8544%

Known prime factors (1 factor, 62.1 bits, 0.00475157% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
130658948865810835078173191962.0841869976359631
43 × 43487822317
2009-07-1943434878223171.0704108.89203.37

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers100001000000---0.003--1.010%
2016-03-17T19:04:44alpertronManual testing5000001500000012---0.059--4.866%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-17T00:00:00ANONYMOUSv4_computers21258--0.029--
2022-03-07T17:32:09LordJuliusManual testing258260--0.088--
2009-02-17T20:52:00Sturle Sundegoldiek.ifi260261--0.118--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.688 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000298 / 1002.9805.004%
2550000298 / 2801.06434.432%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:20.688 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100014.5380.000%
25500001.64019.395%
302500000.14086.925%
3510000000.01099.024%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002489.58
250000350000005011.11


Lucas-Lehmer results:
No L-L results for M1306589


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T01:28:37Oliver KruseGTX-3
4886581083507817319
5E1F27C5A66EF9__no
2017-10-23T00:21:27kkmrkkblmbrbkc4.xlarge
4886581083507817319
5E1F27C5A66EF9__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:32:09+00:00