is 2 6953029 - 1
has 2093071 decimal digits
takes 1.516 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L78D02E9039E5ED72double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.542068.0556%40000004568186709.06528.0818%146.607270.6372%
Target2674.273565.6716%4500072000000.13752.2380%4.411066.4399%
Difference+5+133.2685+2.3839%+3955000+449618670+8.9277+5.8438%+142.1962+4.1973%

Known prime factors:
No known factors for M6953029

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10ANONYMOUSv4_computers2500087500---0.009--0.431%
2011-06-07Carsten Kossendeyleela44500013350000---0.363--3.515%
2021-11-07Seth_TrManual testing20000005800000012---1.597--5.521%
2021-12-03Seth_TrManual testing4000000456818670---9.065--8.082%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05ANONYMOUSv4_computers21262--0.088--
2005-07-01ANONYMOUSv4_computers21263--0.230--
2014-02-09NesowaManual testing263264--0.282--
2014-02-16lycornManual testing264265--0.537--
2015-06-26VictordeHollanderManual testing265266--1.075--
2016-04-05Gordon SpenceManual testing266267--2.149--
2018-02-27-Anonymous-Manual testing267268--4.299--
2020-05-01TJAOIManual testing268269--8.598--
2021-07-31takahashiManual testing269270--17.20--
2021-08-11SRBaseManual testing270271--34.39--
2021-09-25SRBaseManual testing271272--68.78--


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)
1999-03-26ANONYMOUSv4_computers92C3865F1A9952__1.516
1999-09-22ANONYMOUSv4_computers78D02E9039E5ED721.516
2001-10-20ANONYMOUSv4_computers78D02E9039E5ED721.516


PRP results:
No PRP results for M6953029


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456818670 (P-1 stage 2)
B1 = 2000000, B2 = 58000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 445000, B2 = 13350000 (P-1 stage 2)
B1 = 445000 (P-1 stage 1)
B1 = 25000, B2 = 87500 (P-1 stage 2)
B1 = 25000 (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