is 2 1268713 - 1
has 381921 decimal digits
takes 0.040 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L608EA569FF9A0CD0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26723.420568.6567%417800041780000.19204.0675%23.612569.9316%1.2749%
PrimeNet2560.007662.5000%5500900000.00052.4437%0.008063.4164%0.9164%
GPU722600.121165.0000%5500360000.00030.9297%0.121465.3254%0.3254%
Difference+7+23.2995+3.6567%+4172500+4142000+0.1917+3.1378%+23.4911+4.6062%+4.6062%

Known prime factors (1 factor, 85.8 bits, 0.00675910% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1268713652211486691169509328201612685.75425703665316394232160
25 × 5 × 72 × 17 × 1171 × 380713 × 432589
2015-02-1638071343258911,416,4810.01760.0356

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.239%
2003-12-31T00:00:00eteov4_computers2000005000000---0.021--3.421%
2014-09-30T23:23:00Jocelyn LaroucheManual testing250590250590---0.012--1.373%
2015-02-16T05:20:00mikrMSI417800041780002685.7540.1920.0800.3844.068%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-01T00:00:00ANONYMOUSv4_computers21258--0.030--
2022-03-07T17:32:04LordJuliusManual testing258260--0.091--
2009-02-16T02:30:00Sturle Sundegouache.ifi260261--0.121--
2012-09-14T18:00:00AxelssonManual testing261262--0.242--
2012-10-13T12:00:00dbaughManual testing262263--0.774--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.256 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:19.256 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.33426.337%
302500000.11089.576%
3510000000.00799.255%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002519.65
25000025000000509.61


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-31T00:00:00ANONYMOUSv4_computers608EA569FF9A0CD00.040


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T20:54:17Oliver KruseGTX-0
65221148669116950932820161
9DA46A4A43EE7C__no
2017-10-21T11:53:12kkmrkkblmbrbkc4.xlarge
65221148669116950932820161
9DA46A4A43EE7C__no


P-1 factor-bounds graph:
B1 = 4178000 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 250590 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
TF factor-bounds graph:
267
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:32:04+00:00