is 2 3114109 - 1
has 937441 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPA1AC53F8BEEC15__
unverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.140367.6471%30000001000000001.02248.0515%20.162770.2519%2.6049%
PrimeNet2600.049363.3333%130002400000.00312.6444%0.052564.3029%0.9696%
GPU722641.143065.6250%140002400000.00321.5085%1.146266.1435%0.5185%
Difference+4+17.9973+2.0221%+2986000+99760000+1.0192+6.5430%+19.0165+4.1084%+4.1084%

Known prime factors (1 factor, 71.6 bits, 0.00230016% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
311410936530377607148085139772271.630586530169739532
22 × 32 × 10663 × 1527947549
2020-09-24106631527947549261.6210.27519.188

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.250%
2009-07-03T00:37:00Carsten Kossendeyleela15000180000---0.003--0.763%
2011-08-25T03:28:00Squeeky_SquirrelT7500_22001050002126250---0.027--2.564%
2016-09-28T13:16:42Squeeky_Squirreli5-5250U_1600195000550875012---0.060--3.530%
2016-10-03T01:22:51Jocelyn Larouchelow 4M10500025515006---0.029--2.675%
2018-07-15T19:00:19Jocelyn Larouchelow 4M83000024900006---0.114--3.416%
2018-07-16T10:16:51Jocelyn Larouchelow 4M83000033200006---0.119--3.695%
2018-09-27T19:39:11mikrMSI300000010000000012---1.022--8.051%
2021-01-16T21:12:24Jocelyn LaroucheManual testing86000031141096---0.121--3.640%
2022-01-06T11:33:55Jocelyn LaroucheManual testing1000000116447100---0.900--7.453%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-14T15:24:00S485122USB-Z260261--0.049--
2011-11-22T15:25:00Grant McCrackenthumper261262--0.099--
2013-01-07T13:56:00dbaughManual testing262263--0.315--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.630--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.200--
2015-06-11T22:04:00ThaManual testing265266--2.400--
2021-01-16T21:12:24Jocelyn LaroucheManual testing265266--2.400--
2021-02-18T11:47:34Jocelyn LaroucheManual testing266267--4.799--
2017-04-14T16:24:29Gordon SpenceManual testing266267--4.799--
2019-01-28T14:25:43TJAOIManual testing267268--9.60--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.857 GHz-days
Estimated T-Level:1.650
DigitsB1CurvesCompleteFacMiss
201100033 / 1000.33071.773%
255000033 / 2800.11888.864%

New Calculation Method

Total ECM effort:3.857 GHz-days
Estimated T-Level:1.650
DigitsB1CompleteFacMiss
20110001.06534.489%
25500000.09690.827%
302500000.00699.409%


ECM Summary

B1B2factorcurvesGHz-days
500005000000252.922
50000500000080.935


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers5A8EC7A713E267__0.265


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-26T20:14:17Klaus Nordmannno1
3653037760714808513977
A1AC53F8BEEC15__no
2020-11-11T15:47:43Oliver KruseIOS-5
3653037760714808513977
A1AC53F8BEEC156Fno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 116447100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 860000, B2 = 3114109 (P-1 stage 2)
B1 = 830000, B2 = 3320000 (P-1 stage 2)
B1 = 830000, B2 = 2490000 (P-1 stage 2)
B1 = 860000 (P-1 stage 1)
B1 = 830000 (P-1 stage 1)
B1 = 195000, B2 = 5508750 (P-1 stage 2)
B1 = 105000, B2 = 2551500 (P-1 stage 2)
B1 = 105000, B2 = 2126250 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
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: 2022-01-06T11:33:55+00:00