is 2 2714791 - 1
has 817234 decimal digits
takes 0.210 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1255177F826C75D4double-checked
PRP7F04CDD6449F1326verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.955667.6471%2700000840000000.79847.6667%22.754070.1275%2.4804%
PrimeNet2590.028362.7119%120002200000.00262.8458%0.030963.7730%1.0612%
GPU722630.587965.0794%140002200000.00281.6630%0.590765.6601%0.5807%
Difference+5+21.3677+2.5677%+2686000+83780000+0.7956+6.0037%+22.1633+4.4674%+4.4674%

Known prime factors (1 factor, 73.5 bits, 0.00270741% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2714791133608296161477292428092373.5002460747368056644
22 × 32 × 1609 × 42482345281
2020-09-26160942482345281818.08259.21484.14

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.241%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.788%
2010-12-19T21:41:00Jocelyn LaroucheManual testing2000020000---0.002--0.269%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.372%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.006--0.538%
2011-04-21T21:31:00James HeinrichWHS1850004578750---0.048--3.303%
2016-09-22T06:56:21mikrMSI27000008400000012---0.798--7.667%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-28T22:05:00Sturle Sundegraun.ifi260261--0.057--
2012-04-27T14:36:00Grant McCrackenhome261262--0.113--
2013-01-14T12:26:00dbaughManual testing262263--0.362--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.723--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.376--
2016-01-30T15:58:42ramgeisManual testing265266--2.753--
2017-09-29T00:40:44Gordon SpenceManual testing266267--5.505--
2019-02-11T01:15:31chuenkitManual testing267268--11.01--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.080 GHz-days
Estimated T-Level:2.450
DigitsB1CurvesCompleteFacMiss
201100049 / 1000.49061.112%
255000049 / 2800.17583.919%

New Calculation Method

Total ECM effort:5.080 GHz-days
Estimated T-Level:2.450
DigitsB1CompleteFacMiss
20110001.58120.584%
25500000.14386.688%
302500000.00999.124%


ECM Summary

B1B2factorcurvesGHz-days
500005000000474.872
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers1255177F826C75D40.210
2018-08-04T12:37:37kkmrkkblmbrbkold1255177F826C75D40.210


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-26T15:15:39M Millercruncher
13360829616147729242809
7F04CDD6449F1326no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4578750 (P-1 stage 2)
B1 = 185000 (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)
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TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
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2100
Last modified: 2020-09-26T15:15:39+00:00