is 2 2762671 - 1
has 831647 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-L714004873F6AB7C3double-checked
PRP30D86EB9EDBE7184verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.575167.6471%50000001000000001.13968.2325%22.714770.3105%2.6635%
PrimeNet2590.027862.7119%120002200000.00262.8549%0.030463.7764%1.0645%
GPU722630.577765.0794%150002400000.00311.7454%0.580865.6889%0.6095%
Difference+5+20.9974+2.5677%+4985000+99760000+1.1366+6.4871%+22.1339+4.6217%+4.6217%

Known prime factors (1 factor, 74.4 bits, 0.00269128% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2762671240982772800670202045832374.3514361409172512221
17 × 33029 × 7767521897
2021-03-303302977675218971,702.947.39888.520

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.242%
2010-12-03T01:44:00markrtiny1100002365000---0.026--2.605%
2016-08-09T03:03:37Jocelyn 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%
2017-01-20T02:11:50mikrMSI27000008400000012---0.798--7.680%
2017-02-25T21:08:00Jocelyn Larouchelow 4M29445129445106---0.049--3.202%
2021-04-01T00:41:37riccardo ubertiColab_noGPU14500000010000000012---1.140--8.232%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.056--
2009-01-31T04:48:00Sturle Sundegorro.ifi260261--0.056--
2012-03-16T23:03:00markroldgamer261262--0.111--
2013-01-14T12:31:00dbaughManual testing262263--0.355--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.711--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.352--
2016-02-08T11:13:49ramgeisManual testing265266--2.705--
2017-10-09T09:26:13Gordon SpenceManual testing266267--5.410--
2019-02-21T01:08:08chuenkitManual testing267268--10.82--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.036 GHz-days
Estimated T-Level:4.250
DigitsB1CurvesCompleteFacMiss
201100085 / 1000.85042.559%
255000085 / 2800.30473.778%

New Calculation Method

Total ECM effort:9.036 GHz-days
Estimated T-Level:4.250
DigitsB1CompleteFacMiss
20110002.7736.247%
25500000.25177.806%
302500000.01598.465%


ECM Summary

B1B2factorcurvesGHz-days
500005000000676.965
50000500000040.416
50000653446970.824
50000665000070.831


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-30T00:00:00ANONYMOUSv4_computers714004873F6AB7C30.213
2018-08-18T10:55:41kkmrkkblmbrbkold714004873F6AB7C30.213


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-31T19:19:50XZTN4640G1
24098277280067020204583
30D86EB9EDBE7184no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 100000000 (P-1 stage 2)
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
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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1010
TF factor-bounds graph:
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Last modified: 2021-04-01T00:41:37+00:00