is 2 2764127 - 1
has 832086 decimal digits
takes 0.213 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9EA6DDE3B6A88BFCdouble-checked
PRPB2B4A63CBE0EAB8Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.563767.6471%2700000840000000.79847.6806%22.362270.1320%2.4849%
PrimeNet2590.027862.7119%120002200000.00262.8551%0.030463.7765%1.0646%
GPU722630.577465.0794%150002400000.00311.7455%0.580565.6889%0.6096%
Difference+5+20.9863+2.5677%+2685000+83760000+0.7954+5.9351%+21.7817+4.4430%+4.4430%

Known prime factors (1 factor, 88.3 bits, 0.00319279% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27641273687156577124008352363032972788.25366696584077432193824
25 × 192 × 23 × 15472201 × 16224319
2020-08-13154722011622431931,828,2531.73743.5265

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.242%
2010-12-02T14:34:00markrtiny1100002365000---0.026--2.605%
2016-08-11T02:58:16Jocelyn LaroucheManual testing14200047300006---0.044--3.185%
2016-10-27T01:50:41Jocelyn Larouchelow 4M170400170400---0.019--1.129%
2016-12-24T02:28:24Jocelyn Larouchelow 4M204480204480---0.023--1.241%
2017-01-25T12:13:53mikrMSI27000008400000012---0.798--7.681%
2017-02-25T21:08:00Jocelyn Larouchelow 4M29445129445106---0.049--3.202%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-31T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:21Mark RoseManual testing259260--0.028--
2009-01-31T15:57:00Sturle Sundegorro.ifi260261--0.056--
2012-03-15T11:27:00markroldgamer261262--0.111--
2013-01-10T10:19:00dbaughManual testing262263--0.355--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.710--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.352--
2016-02-08T11:13:50ramgeisManual testing265266--2.703--
2017-10-12T12:41:20Gordon SpenceManual testing266267--5.407--
2019-02-21T01:08:08chuenkitManual testing267268--10.81--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.743 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:3.743 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16131.308%
25500000.10590.036%
302500000.00699.356%


ECM Summary

B1B2factorcurvesGHz-days
500005000000333.431
50000500000030.312


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers9EA6DDE3B6A88BFC0.213
2018-08-18T23:34:55kkmrkkblmbrbkold9EA6DDE3B6A88BFC0.213


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-13T19:07:18Xyzzy3950X
368715657712400835236303297
B2B4A63CBE0EAB8Bno


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: 2020-08-13T19:07:18+00:00