is 2 3714341 - 1
has 1118129 decimal digits
takes 0.390 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEDC1EFCBC15B6558double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.331968.5714%140000007000000007.823910.2456%72.155871.7915%3.2201%
PrimeNet2600.041463.3333%160003200000.00503.0857%0.046364.4648%1.1314%
GPU722640.958365.6250%220004500000.00692.1071%0.965266.3493%0.7243%
Difference+6+63.3736+2.9464%+13978000+699550000+7.8170+8.1386%+71.1907+5.4422%+5.4422%

Known prime factors:
No known factors for M3714341

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00ANONYMOUSv4_computers20000230000---0.005--0.696%
2010-11-01T19:52:00Oscar Östlin700001417500---0.022--1.710%
2012-12-23T10:31:00Squeeky_SquirrelP4_26002450007717500---0.099--3.247%
2021-05-16T03:48:21axnManual testing14000000700000000---7.824--10.246%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-21T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-07T07:42:00S485122USB-A260261--0.041--
2011-04-19T23:29:00Grant McCrackenthumper261262--0.083--
2012-04-19T23:28:00GrunwalderGIMPManual testing21263--0.430--
2016-02-23T16:29:37Mark RoseManual testing262263--0.264--
2015-01-22T10:39:00VictordeHollanderManual testing263264--0.529--
2015-01-22T10:39:00VictordeHollanderManual testing264265--1.006--
2016-02-23T16:35:12ramgeisManual testing265266--2.012--
2016-10-31T13:33:10Gordon SpenceManual testing266267--4.024--
2019-01-28T14:25:38TJAOIManual testing267268--8.047--
2020-12-14T08:23:38axnManual testing268269--16.09--
2021-03-07T09:38:32axnManual testing269270--32.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.967 GHz-days
Estimated T-Level:2.000
DigitsB1CurvesCompleteFacMiss
201100040 / 1000.40066.897%
255000040 / 2800.14386.666%

New Calculation Method

Total ECM effort:5.967 GHz-days
Estimated T-Level:2.000
DigitsB1CompleteFacMiss
20110001.53821.471%
25500000.14286.732%
302500000.00999.106%


ECM Summary

B1B2factorcurvesGHz-days
500005000000405.967


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-12T00:00:00ANONYMOUSv4_computersD70B2F016532EE__0.390
2000-01-12T00:00:00ANONYMOUSv4_computersEDC1EFCBC15B65580.390
2001-01-21T00:00:00ANONYMOUSv4_computersEDC1EFCBC15B65580.390
2001-03-17T00:00:00ANONYMOUSv4_computersEDC1EFCBC15B65580.390


PRP results:
No PRP results for M3714341


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 245000, B2 = 7717500 (P-1 stage 2)
B1 = 245000 (P-1 stage 1)
B1 = 70000, B2 = 1417500 (P-1 stage 2)
B1 = 70000 (P-1 stage 1)
B1 = 20000, B2 = 230000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-19T23:55:30+00:00