is 2 2766727 - 1
has 832868 decimal digits
takes 0.214 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF9D704E9B1BF8CA7double-checked
PRP0F97D1371C231C5Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.543567.6471%2700000840000000.79847.6813%22.341970.1322%2.4851%
PrimeNet2590.027862.7119%120002200000.00262.8556%0.030463.7767%1.0648%
GPU722630.576965.0794%150002400000.00311.7459%0.579965.6890%0.6097%
Difference+5+20.9666+2.5677%+2685000+83760000+0.7954+5.9355%+21.7620+4.4432%+4.4432%

Known prime factors (1 factor, 86.2 bits, 0.00311513% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2766727880933326219528051131165592686.18715920134625127958977
3 × 5306711541709319659
2021-03-19353067115417093196597,058,2613.238e+106.048e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.242%
2010-12-01T20:53:00markrtiny1100002365000---0.026--2.606%
2016-08-11T02:58:17Jocelyn LaroucheManual testing14200047300006---0.044--3.186%
2016-10-27T01:50:42Jocelyn Larouchelow 4M170400170400---0.019--1.129%
2016-12-24T02:28:25Jocelyn Larouchelow 4M204480204480---0.023--1.241%
2017-02-02T09:05:27mikrMSI27000008400000012---0.798--7.681%
2017-02-25T21:08:01Jocelyn Larouchelow 4M29445129445106---0.049--3.202%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.056--
2009-01-31T13:20:00Sturle Sundegofy.ifi260261--0.056--
2012-03-13T03:31:00markroldgamer261262--0.111--
2013-01-14T12:31:00dbaughManual testing262263--0.355--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.710--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.350--
2016-02-08T11:13:50ramgeisManual testing265266--2.701--
2017-10-12T12:41:21Gordon SpenceManual testing266267--5.402--
2019-02-21T06:22:36chuenkitManual testing267268--10.80--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.636 GHz-days
Estimated T-Level:4.100
DigitsB1CurvesCompleteFacMiss
201100082 / 1000.82043.862%
255000082 / 2800.29374.574%

New Calculation Method

Total ECM effort:8.636 GHz-days
Estimated T-Level:4.100
DigitsB1CompleteFacMiss
20110002.6616.990%
25500000.24178.599%
302500000.01598.527%


ECM Summary

B1B2factorcurvesGHz-days
500005000000717.383
50000500000040.416
50000675000070.838


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computersF9D704E9B1BF8CA70.214
2018-08-19T18:54:41kkmrkkblmbrbkoldF9D704E9B1BF8CA70.214


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-19T04:51:06ATHec2-PRPCF
88093332621952805113116559
0F97D1371C231C5Cno


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 294451, B2 = 2944510 (P-1 stage 2)
B1 = 142000, B2 = 4730000 (P-1 stage 2)
B1 = 294451 (P-1 stage 1)
B1 = 110000, B2 = 2365000 (P-1 stage 2)
B1 = 204480 (P-1 stage 1)
B1 = 170400 (P-1 stage 1)
B1 = 142000 (P-1 stage 1)
B1 = 110000 (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:
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Last modified: 2021-03-19T04:51:06+00:00