is 2 6902213 - 1
has 2077774 decimal digits
takes 1.505 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFEB3D85260989D06double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272138.554668.0556 %35000009616446840166.703011.2918 %305.257671.6627 %
Target2674.305065.6716 %4500045000000.09102.2353 %4.396066.4390 %
Difference+5+134.2497+2.3839 %+3455000+9611946840+166.6120+9.0565%+300.8617+5.2237 %

Known prime factors:
No known factors for M6902213

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-11-24Team Prime Ribv4_computers35000542500--0.0201.847%
2001-12-22Team Prime Ribv4_computers35000542500--0.0201.847%
2012-08-10NesowaEPC8500014875006--0.0512.874%
2019-04-25takahashivaio30000050000006--0.1764.526%
2021-05-08takahashivaio10000003000000012--0.8167.166%
2023-06-24ThaZ-17035000009616446840--199.615.789%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-21ANONYMOUSv4_computers212620.045
2004-01-27Sturle Sundev4_computers212630.142
2014-02-09NesowaManual testing2632640.284
2014-02-17lycornManual testing2642650.541
2015-06-21VictordeHollanderManual testing2652661.083
2016-03-31Gordon SpenceManual testing2662672.165
2018-02-27ANONYMOUSManual testing2672684.331
2019-11-25mnd9Manual testing2682698.661
2020-12-20takahashiManual testing26927017.32
2021-08-10SRBaseManual testing27027134.65
2021-09-25SRBaseManual testing27127269.29


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)
1999-04-23ANONYMOUSv4_computersFEB3D85260989D061.505
2001-11-24Team Prime Ribv4_computersFEB3D85260989D061.505
2001-12-22Team Prime Ribv4_computersFEB3D85260989D061.505


PRP results:
No PRP results for M6902213


CERT results:
No CERT results for M6902213


P-1 factor-bounds graph:
B1 = 3500000, B2 = 9616446840 (P-1 stage 2)
B1 = 3500000 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 300000, B2 = 5000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 85000, B2 = 1487500 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 542500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
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109
1010
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2024-03-13T02:15:48+00:00