is 2 6935431 - 1
has 2087773 decimal digits
takes 1.512 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L905C5AD9924D7B01double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.891068.0556%20000002588493605.05696.9794%142.948070.2851%2.2295%
PrimeNet2630.230163.4921%280007000000.02043.1612%0.250664.6461%1.1541%
GPU722674.284465.6716%450009000000.02902.2371%4.313366.4396%0.7680%
Difference+5+133.6067+2.3839%+1955000+257949360+5.0280+4.7423%+138.6346+3.8455%+1.4616%

Known prime factors:
No known factors for M6935431

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10T00:00:00ANONYMOUSv4_computers30000157500---0.012--0.580%
2002-05-25T00:00:00oerwinv4_computers850001572500---0.052--1.582%
2019-05-09T13:54:32takahashivaio30000050000006---0.176--2.683%
2021-06-02T21:12:26Dylan DelgadoManual testing6300001890000012---0.514--3.948%
2021-12-06T13:28:26Seth_TrManual testing2000000258849360---5.057--6.979%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-09T00:00:00ANONYMOUSv4_computers21262--0.089--
2005-03-06T00:00:00ANONYMOUSv4_computers21263--0.230--
2014-02-09T10:11:00NesowaManual testing263264--0.283--
2014-02-16T23:05:00lycornManual testing264265--0.539--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.077--
2016-04-05T22:46:22Gordon SpenceManual testing266267--2.155--
2018-02-27T00:21:32-Anonymous-Manual testing267268--4.310--
2020-05-01T08:51:04TJAOIManual testing268269--8.620--
2021-07-24T15:00:44takahashiManual testing269270--17.24--
2021-08-12T16:31:09SRBaseManual testing270271--34.48--
2021-09-25T07:22:08SRBaseManual testing271272--68.96--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers905C5AD9924D7B011.512
2002-08-10T00:00:00oerwinv4_computers905C5AD9924D7B011.512


PRP results:
No PRP results for M6935431


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 300000, B2 = 5000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 85000, B2 = 1572500 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 30000, B2 = 157500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
250
260
270
280
290
2100
Last modified: 2021-12-06T13:28:26+00:00