is 2 3669691 - 1
has 1104688 decimal digits
takes 0.385 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3CA790F5B4C46827double-checked
PRPA1C366CEFB293E36verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27065.114668.5714%300000006000000009.298110.3792%74.412871.8335%3.2620%
PrimeNet2600.041963.3333%160003200000.00503.0793%0.046864.4624%1.1291%
GPU722640.969965.6250%220004000000.00652.0382%0.976466.3256%0.7006%
Difference+6+64.1447+2.9464%+29978000+599600000+9.2916+8.3410%+73.4363+5.5078%+5.5078%

Known prime factors (1 factor, 73.4 bits, 0.00199945% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3669691122377339103403102410572373.3741667406589593008
24 × 11 × 9473901077233
2021-07-011694739010772331,002.878,607146,816

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-11T19:29:00Carsten Kossendeydurandal20000260000---0.005--0.722%
2012-02-07T15:34:00Squeeky_SquirrelP4_2600900001642500---0.027--1.878%
2016-06-24T05:29:27Jocelyn LaroucheManual testing9000032850006---0.040--2.214%
2016-10-03T01:22:55Jocelyn Larouchelow 4M900003942000---0.046--2.305%
2016-12-24T20:28:42Jocelyn Larouchelow 4M108000108000---0.016--0.695%
2016-12-30T22:58:50Jocelyn Larouchelow 4M129600129600---0.020--0.776%
2017-01-30T01:30:57Jocelyn Larouchelow 4M167520167520---0.026--0.898%
2017-02-13T00:36:34Jocelyn Larouchelow 4M24122824122806---0.055--2.479%
2020-10-14T01:56:54axnManual testing3000000060000000012---9.298--10.379%
2022-03-04T04:18:54Jocelyn LaroucheManual testing9000090000---0.014--0.621%
2022-03-22T11:10:31Jocelyn LaroucheManual testing100000100000---0.015--0.663%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-27T00:00:00ANONYMOUSv4_computers21260--0.042--
2009-03-08T06:42:00S485122USB-Z260261--0.042--
2011-06-06T05:22:00Grant McCrackenthumper261262--0.084--
2012-06-05T02:31:00GrunwalderGIMPManual testing21263--0.435--
2016-02-23T16:29:36Mark RoseManual testing262263--0.268--
2015-01-23T13:18:00VictordeHollanderManual testing263264--0.535--
2015-01-23T13:18:00VictordeHollanderManual testing264265--1.018--
2015-10-20T08:54:38ramgeisManual testing265266--2.036--
2017-01-03T07:36:03Gordon SpenceManual testing266267--4.073--
2018-11-12T14:47:29TJAOIManual testing267268--8.145--
2020-11-11T17:44:58axnManual testing268269--16.29--
2021-02-25T02:26:50axnManual testing269270--32.58--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.827 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:2.827 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.61354.178%
25500000.05594.611%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.786
50000500000071.042


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-16T00:00:00ANONYMOUSv4_computers3CA790F5B4C468270.385
1999-09-14T00:00:00ANONYMOUSv4_computers3CA790F5B4C468270.385


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-03T02:42:46Yizhe Huanglap
12237733910340310241057
A1C366CEFB293E36no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 241228, B2 = 2412280 (P-1 stage 2)
B1 = 90000, B2 = 3942000 (P-1 stage 2)
B1 = 90000, B2 = 3285000 (P-1 stage 2)
B1 = 241228 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 167520 (P-1 stage 1)
B1 = 129600 (P-1 stage 1)
B1 = 108000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-22T11:10:31+00:00