is 2 2706953 - 1
has 814875 decimal digits
takes 0.209 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9ED37D10420D874Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.019267.6471%60000060000000.10014.0799%22.119368.9670%1.3200%
PrimeNet2590.028462.7119%120002200000.00262.8444%0.031063.7725%1.0606%
GPU722630.589665.0794%140002200000.00281.6621%0.592465.6598%0.5804%
Difference+5+21.4296+2.5677%+586000+5780000+0.0973+2.4178%+21.5269+3.3073%+3.3073%

Known prime factors (1 factor, 78.8 bits, 0.00291130% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27069535289313620228379194099192478.80797698660084389703
3 × 139 × 2321587 × 100917757
2020-08-06232158710091775728,7970.86161.1501

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.787%
2010-12-16T22:40:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-26T14:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.372%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.006--0.537%
2011-03-28T22:01:00James HeinrichWHS3000008000000---0.081--3.991%
2018-08-06T19:34:56Jocelyn Larouchelow 4M60000060000006---0.100--4.080%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:19Mark RoseManual testing259260--0.028--
2009-01-31T06:14:00Sturle Sundeklengel.ifi260261--0.057--
2012-04-28T08:24:00Grant McCrackenthumper261262--0.113--
2013-01-14T12:26:00dbaughManual testing262263--0.363--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.725--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.380--
2016-01-29T11:11:45ramgeisManual testing265266--2.761--
2017-09-29T00:40:43Gordon SpenceManual testing266267--5.521--
2019-02-11T01:15:28chuenkitManual testing267268--11.04--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.116 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:4.116 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.48022.773%
25500000.13687.254%
302500000.00999.146%


ECM Summary

B1B2factorcurvesGHz-days
500005000030.179
500005000000363.730
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09T00:00:00ANONYMOUSv4_computers9ED37D10420D874A0.209
1999-06-06T00:00:00ANONYMOUSv4_computers9ED37D10420D874A0.209
2018-08-01T10:56:20kkmrkkblmbrbkold9ED37D10420D874A0.209


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-06T11:28:59CrypticCluecruncher
528931362022837919409919
37D16D7CC2FAF3EEno
2020-08-07T07:59:55kutensspica
528931362022837919409919
37D16D7CC2FAF3EEno


P-1 factor-bounds graph:
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2020-08-07T07:59:55+00:00