is 2 6947053 - 1
has 2091272 decimal digits
takes 1.515 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L74B8AD69382E2721double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.660368.0556%20000002588493605.05696.9806%142.717370.2855%
Target2674.277265.6716%4500072000000.13752.2377%4.414766.4398%
Difference+5+133.3831+2.3839%+1955000+251649360+4.9195+4.7429%+138.3026+3.8457%

Known prime factors:
No known factors for M6947053

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10ANONYMOUSv4_computers30000270000---0.014--0.705%
2011-12-09James HeinrichQ66001300002827500---0.088--2.015%
2020-01-20takahashivaio6000001200000012---0.386--3.583%
2021-12-06Seth_TrManual testing2000000258849360---5.057--6.981%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-29RonnyKarlv4_computers21262--0.088--
1999-10-07RonnyKarlv4_computers21262--0.088--
2005-03-20ANONYMOUSv4_computers21263--0.230--
2014-02-09NesowaManual testing263264--0.283--
2014-02-16lycornManual testing264265--0.538--
2015-06-26VictordeHollanderManual testing265266--1.076--
2016-04-05Gordon SpenceManual testing266267--2.151--
2018-02-26-Anonymous-Manual testing267268--4.303--
2020-04-24TJAOIManual testing268269--8.605--
2021-07-28takahashiManual testing269270--17.21--
2021-08-13SRBaseManual testing270271--34.42--
2021-09-28SRBaseManual testing271272--68.84--


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)
1999-07-27jbarchukv4_computers74B8AD69382E27211.515
2001-11-10ANONYMOUSv4_computers74B8AD69382E27211.515


PRP results:
No PRP results for M6947053


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 130000, B2 = 2827500 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 30000, B2 = 270000 (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
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00