is 2 6957337 - 1
has 2094368 decimal digits
takes 1.517 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L939B0F2634BA0C88double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.456968.0556%40000004568186709.06528.0823%146.522070.6374%
Target2674.270965.6716%450009000000.02902.2383%4.299866.4400%
Difference+5+133.1860+2.3839%+3955000+455918670+9.0362+5.8440%+142.2222+4.1974%

Known prime factors:
No known factors for M6957337

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-07-03ANONYMOUSv4_computers75000806250---0.036--1.279%
2000-08-01ANONYMOUSv4_computers75000806250---0.036--1.279%
2001-10-20ANONYMOUSv4_computers35000341250---0.016--0.799%
2014-08-17Nesowanewfs43500011310000---0.325--3.388%
2021-11-05Seth_TrManual testing20000005800000012---1.597--5.521%
2021-12-04Seth_TrManual testing4000000456818670---9.065--8.082%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-29ANONYMOUSv4_computers21262--0.088--
2000-01-19ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.282--
2014-02-16lycornManual testing264265--0.537--
2015-06-26VictordeHollanderManual testing265266--1.074--
2016-04-06Gordon SpenceManual testing266267--2.148--
2018-05-23ramgeisManual testing267268--4.296--
2020-04-24TJAOIManual testing268269--8.593--
2021-08-01takahashiManual testing269270--17.19--
2021-08-12SRBaseManual testing270271--34.37--
2021-09-25SRBaseManual testing271272--68.74--


ECM factoring results:
Total ECM effort:2.321 GHz-days
Estimated T-Level:1.346
DigitsB1CompleteFacMiss
20110000.26976.397%
25500000.02597.540%
302500000.00299.843%


ECM Summary

B1B2factorcurvesGHz-days
50000500000072.321


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computersDBA4FA65301310__1.517
2000-07-17ANONYMOUSv4_computers939B0F2634BA0C881.517
2000-08-01ANONYMOUSv4_computers939B0F2634BA0C881.517
2001-12-22ANONYMOUSv4_computers939B0F2634BA0C881.517


PRP results:
No PRP results for M6957337


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 = 435000, B2 = 11310000 (P-1 stage 2)
B1 = 435000 (P-1 stage 1)
B1 = 75000, B2 = 806250 (P-1 stage 2)
B1 = 75000 (P-1 stage 1)
B1 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 35000 (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: 67.7
ECM T-Level=1.35 ~= -12-bit
250
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270
280
Last modified: 2023-03-25T13:08:14+00:00