is 2 2769313 - 1
has 833647 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-L378F3DC89D9A0CA3double-checked
PRP4CEAD25CA4353A81verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26943.110668.1159%2700000840000000.79847.0716%43.909170.3706%2.2547%
PrimeNet2590.027762.7119%120002200000.00262.8561%0.030363.7768%1.0650%
GPU722630.576365.0794%150002400000.00311.7462%0.579465.6891%0.6098%
Difference+6+42.5343+3.0366%+2685000+83760000+0.7954+5.3254%+43.3297+4.6815%+4.6815%

Known prime factors (1 factor, 78.6 bits, 0.00283688% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27693134461728629744728076665292478.56280556597064772528
24 × 7 × 71 × 271 × 37381390309
2021-07-292713738139030941,665228.09426.01

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.195%
2010-11-10T11:27:00Jocelyn LaroucheManual testing1500015000---0.002--0.175%
2010-11-30T20:56:00markrtiny1100002365000---0.026--2.316%
2016-08-13T16:52:45Jocelyn LaroucheManual testing14200047300006---0.044--2.847%
2016-10-27T01:50:43Jocelyn Larouchelow 4M170400170400---0.019--0.988%
2016-12-24T02:28:26Jocelyn Larouchelow 4M204480204480---0.023--1.089%
2017-02-14T14:09:33mikrMSI27000008400000012---0.798--7.072%
2017-02-25T21:08:02Jocelyn Larouchelow 4M29445129445106---0.049--2.875%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-01-29T06:42:00Sturle Sundegollumilla.ifi260261--0.055--
2012-03-09T15:34:00markroldgamer261262--0.111--
2013-01-10T10:19:00dbaughManual testing262263--0.354--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.709--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.349--
2016-02-08T11:13:51ramgeisManual testing265266--2.698--
2017-10-12T12:41:21Gordon SpenceManual testing266267--5.397--
2019-02-23T00:52:21chuenkitManual testing267268--10.79--
2021-05-31T09:33:59TJAOIManual testing268269--21.59--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.817 GHz-days
Estimated T-Level:21.786
DigitsB1CurvesCompleteFacMiss
2011000100 / 1001.00036.603%
2550000100 / 2800.35769.923%

New Calculation Method

Total ECM effort:10.817 GHz-days
Estimated T-Level:21.786
DigitsB1CompleteFacMiss
20110003.2603.838%
25500000.29474.555%
302500000.01898.211%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.417
5000050000009910.30
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers378F3DC89D9A0CA30.214
2018-08-20T23:25:10kkmrkkblmbrbkold378F3DC89D9A0CA30.214


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-30T06:22:09SRJ2877LTOS
446172862974472807666529
4CEAD25CA4353A81no


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 = 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:
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Last modified: 2021-07-30T06:22:09+00:00