is 2 2079601 - 1
has 626023 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L29E2D772395D7A49double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.288368.6567%18245062100000.04873.7721%14.337069.8390%1.1823%
PrimeNet2580.018563.7931%90001600000.00162.6728%0.020164.7609%0.9678%
GPU722620.295466.1290%90001300000.00151.3677%0.296966.5923%0.4632%
Difference+5+13.9929+2.5277%+173450+6080000+0.0472+2.4044%+14.0401+3.2467%+3.2467%

Known prime factors (1 factor, 74.9 bits, 0.00360122% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2079601350299692411802339954312374.8918422281303283715
5 × 7 × 139 × 7723 × 224161417
2017-01-0877232241614172,522.71.16502.1747

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.276%
2009-07-25T16:35:00harleeP4_260020000260000---0.003--1.018%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.414%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.595%
2011-01-21T16:55:00James HeinrichQ66001350003105000---0.028--3.096%
2016-07-17T03:53:35Jocelyn LaroucheManual testing182450621000012---0.049--3.772%
2016-11-04T12:39:34Jocelyn Larouchelow 4M218940218940---0.021--1.394%
2016-11-05T16:28:44Jocelyn Larouchelow 4M262728262728---0.025--1.523%
2016-11-11T16:54:50Jocelyn Larouchelow 4M315273315273---0.030--1.659%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T05:01:00Sturle Sundeinteravia.ifi260261--0.074--
2012-03-17T11:48:00Sebastian HornbostelManual testing261262--0.148--
2013-09-02T08:36:00ramgeisManual testing262263--0.472--
2015-03-31T15:56:00VictordeHollanderManual testing263264--0.944--
2015-03-31T15:56:00VictordeHollanderManual testing264265--1.797--
2015-11-05T09:47:17ramgeisManual testing265266--3.593--
2016-09-14T10:22:37Gordon SpenceManual testing266267--7.187--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.550 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.550 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.96837.994%
25500000.08791.625%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.295
50000500000030.255


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computers29E2D772395D7A490.137


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T16:08:06Oliver KruseGTX-1
35029969241180233995431
F0400360FD0D76__no
2017-11-16T13:21:34kkmrkkblmbrbkc4.xlarge
35029969241180233995431
F0400360FD0D76__no


P-1 factor-bounds graph:
B1 = 182450, B2 = 6210000 (P-1 stage 2)
B1 = 315273 (P-1 stage 1)
B1 = 135000, B2 = 3105000 (P-1 stage 2)
B1 = 262728 (P-1 stage 1)
B1 = 218940 (P-1 stage 1)
B1 = 182450 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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
108
109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2017-11-16T13:21:34+00:00