is 2 2761027 - 1
has 831152 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-LA0F7915E1BAF54C0double-checked
PRPCB183684F3A41C9Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26943.240068.1159%2700000840000000.79847.0694%44.038470.3700%2.2540%
PrimeNet2590.027862.7119%120002200000.00262.8545%0.030463.7763%1.0644%
GPU722630.578165.0794%150002400000.00311.7452%0.581165.6888%0.6094%
Difference+6+42.6619+3.0366%+2685000+83760000+0.7954+5.3242%+43.4573+4.6812%+4.6812%

Known prime factors (1 factor, 72.8 bits, 0.00263817% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
276102784568440615601907505912272.8411531467106544085
3 × 5 × 102097807102939
2021-12-165102097807102939642.19622,9651,163,526

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.195%
2010-12-04T05:10:00markrtiny1100002365000---0.026--2.315%
2016-08-07T04:57:24Jocelyn LaroucheManual testing14200047300006---0.044--2.846%
2016-12-24T02:28:24Jocelyn Larouchelow 4M204480204480---0.023--1.088%
2017-01-13T13:55:15mikrMSI27000008400000012---0.798--7.069%
2017-02-25T21:08:00Jocelyn Larouchelow 4M29445129445106---0.049--2.874%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:21Mark RoseManual testing259260--0.028--
2009-01-31T10:45:00Sturle Sundebruckner.ifi260261--0.056--
2012-03-18T23:00:00markroldgamer261262--0.111--
2013-01-10T10:19:00dbaughManual testing262263--0.356--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.711--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.353--
2016-02-08T11:13:49ramgeisManual testing265266--2.707--
2017-10-09T09:26:13Gordon SpenceManual testing266267--5.413--
2019-02-21T01:08:07chuenkitManual testing267268--10.83--
2021-06-14T11:22:54TJAOIManual testing268269--21.65--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.058 GHz-days
Estimated T-Level:22.071
DigitsB1CurvesCompleteFacMiss
2011000116 / 1001.16031.166%
2550000116 / 2800.41466.032%

New Calculation Method

Total ECM effort:12.058 GHz-days
Estimated T-Level:22.071
DigitsB1CompleteFacMiss
20110003.7422.371%
25500000.33871.306%
302500000.02197.939%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011411.85
50000500000020.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computersA0F7915E1BAF54C00.213
2018-08-17T20:47:48kkmrkkblmbrbkoldA0F7915E1BAF54C00.213


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-16T12:01:42Tucker KaoOld_Timer_2013
8456844061560190750591
CB183684F3A41C9Fno


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 = 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: 2021-12-16T12:01:42+00:00