is 2 3706301 - 1
has 1115708 decimal digits
takes 0.389 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAFE7FD15271DF2E4double-checked
PRP12874A6396FA94C4verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.471568.5714%140000007000000007.823910.2438%72.295471.7909%3.2195%
PrimeNet2600.041463.3333%160003200000.00503.0846%0.046464.4643%1.1310%
GPU722640.960365.6250%220004500000.00692.1063%0.967266.3490%0.7240%
Difference+6+63.5111+2.9464%+13978000+699550000+7.8170+8.1375%+71.3282+5.4419%+5.4419%

Known prime factors (1 factor, 73.7 bits, 0.00198943% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3706301157131478401076481409432373.7342119788414393171
3 × 37 × 5443 × 3508578527
2022-01-0454433508578527548.6229.11254.372

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:49:00Carsten Kossendeyleela20000260000---0.005--0.724%
2012-12-02T02:21:00Squeeky_SquirrelT7500_22002450007717500---0.099--3.247%
2021-05-02T09:37:37axnManual testing14000000700000000---7.824--10.244%
2022-03-04T04:18:27Jocelyn LaroucheManual testing9000090000---0.014--0.622%
2022-03-22T11:10:22Jocelyn LaroucheManual testing100000100000---0.015--0.665%
2022-05-25T14:13:40Jocelyn LaroucheManual testing100000130364850---1.096--4.372%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-01T00:00:00Stephan Gruppv4_computers21260--0.041--
2009-03-07T07:42:00S485122USB-A260261--0.041--
2011-04-12T10:33:00Grant McCrackenthumper261262--0.083--
2012-04-19T23:22:00GrunwalderGIMPManual testing21263--0.431--
2016-02-23T16:29:37Mark RoseManual testing262263--0.265--
2015-01-20T20:48:00VictordeHollanderManual testing263264--0.530--
2015-01-20T20:48:00VictordeHollanderManual testing264265--1.008--
2016-02-23T09:49:00ramgeisManual testing265266--2.016--
2016-10-30T14:39:29Gordon SpenceManual testing266267--4.032--
2019-01-14T11:03:47TJAOIManual testing267268--8.065--
2020-12-16T17:47:46axnManual testing268269--16.13--
2021-03-04T01:57:53axnManual testing269270--32.26--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.194 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:4.194 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.88741.208%
25500000.08092.269%
302500000.00599.505%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.833
50000500000010.149
50000675000071.212


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-23T00:00:00Stephan Gruppv4_computersAFE7FD15271DF2E40.389
1999-11-04T00:00:00ANONYMOUSv4_computersAFE7FD15271DF2E40.389


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-04T07:40:39MarkSdesktop-i7
15713147840107648140943
12874A6396FA94C4no


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 245000, B2 = 7717500 (P-1 stage 2)
B1 = 245000 (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)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-05-25T14:13:40+00:00