is 2 2814103 - 1
has 847130 decimal digits
takes 0.217 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L69B8C6D8F5250DFAdouble-checked
PRP81D56855CA0F3A33verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.180867.6471%50000002000000001.74989.1627%22.930670.6115%2.9644%
PrimeNet2590.027362.7119%120002400000.00272.9298%0.030063.8043%1.0925%
GPU722630.567165.0794%150002600000.00321.7914%0.570365.7049%0.6256%
Difference+5+20.6136+2.5677%+4985000+199740000+1.7466+7.3713%+22.3602+4.9065%+4.9065%

Known prime factors (1 factor, 72.5 bits, 0.00257585% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
281410366182714069293874255112272.4871175911366238085
3 × 5 × 37 × 103 × 20570477849
2021-01-0510320570477849510.89125.51234.43

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2010-11-13T11:54:00Jocelyn LaroucheManual testing1500015000---0.002--0.211%
2010-11-16T20:18:00markrtiny1000002100000---0.023--2.494%
2016-05-12T15:11:31Jocelyn LaroucheManual testing20000036000006---0.043--3.187%
2017-07-30T01:18:54Jocelyn Larouchelow 4M40000040000006---0.067--3.580%
2019-10-03T23:34:06masserManual testing28141032814103012---0.470--6.376%
2020-01-12T15:54:28masserManual testing500000020000000012---1.750--9.163%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-12T19:02:00Sturle Sundeginglo.ifi260261--0.055--
2012-02-22T00:43:00markroldgamer261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.349--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.698--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.328--
2016-02-12T10:12:09ramgeisManual testing265266--2.655--
2017-10-24T17:48:49Gordon SpenceManual testing266267--5.311--
2018-12-31T00:56:16chuenkitManual testing267268--10.62--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.673 GHz-days
Estimated T-Level:3.200
DigitsB1CurvesCompleteFacMiss
201100064 / 1000.64052.560%
255000064 / 2800.22979.534%

New Calculation Method

Total ECM effort:6.673 GHz-days
Estimated T-Level:3.200
DigitsB1CompleteFacMiss
20110002.4628.530%
25500000.22879.632%
302500000.01498.574%


ECM Summary

B1B2factorcurvesGHz-days
500005000000586.048
50000500000060.626


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers69B8C6D8F5250DFA0.217
2018-09-05T00:24:25kkmrkkblmbrbkold69B8C6D8F5250DFA0.217


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-13T09:33:35LLangleyHome_PC_2600X
6618271406929387425511
81D56855CA0F3A33no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2814103, B2 = 28141030 (P-1 stage 2)
B1 = 2814103 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (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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265
264
263
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2100
Last modified: 2021-01-13T09:33:35+00:00