is 2 711307 - 1
has 214125 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26741.773770.1493%500000150000000.03744.5182%41.811071.4980%1.3487%
PrimeNet2400.000050.0000%65002600000.000621.5110%0.000660.7555%10.7555%
GPU722440.000054.5455%120004500000.001016.5302%0.001062.0592%7.5137%
Difference+23+41.7737+15.6038%+488000+14550000+0.0363-12.0121%+41.8100+9.4388%+9.4388%

Known prime factors (1 factor, 52.4 bits, 0.00736284% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
71130758300416295118391652.3724098119117
4098119117
2007-08-29140981191170.00156.466012.077

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.009--2.635%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.244%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.871%
2002-11-02T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.638%
2002-11-16T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.638%
2003-06-09T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.532%
2016-03-17T18:50:37alpertronManual testing5000001500000012---0.037--4.518%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-08T00:00:00ANONYMOUSv4_computers253254--0.002--
2000-05-17T00:00:00ANONYMOUSv4_computers21255--0.007--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-10-20T00:00:00ANONYMOUSv4_computers21257--0.027--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.054--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.316 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.316 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002816.347
25000025000000444.969


Lucas-Lehmer results:
No L-L results for M711307


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T16:21:36Oliver KruseGTX-0
5830041629511839
DF7DBB6630F16B__no
2017-10-13T15:38:00Oliver KruseGTX-1DF7DBB6630F16B__no
2017-12-16T06:40:49ATHec2-1xf
5830041629511839
DF7DBB6630F16B__no
2020-04-20T16:58:59Oliver KruseAddPrpType5
5830041629511839
65B5C3CC55FE9A__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65537 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2020-04-20T16:58:59+00:00