is 2 3736367 - 1
has 1124759 decimal digits
takes 0.392 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LAEA45045EA72CE37double-checked
PRPF7786B134230D9__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27063.952768.5714%140000007000000007.823910.2507%71.776671.7931%3.2216%
PrimeNet2600.041163.3333%160003200000.00503.0889%0.046164.4659%1.1326%
GPU722640.952665.6250%220004500000.00692.1093%0.959566.3501%0.7251%
Difference+6+63.0000+2.9464%+13978000+699550000+7.8170+8.1414%+70.8171+5.4430%+5.4430%

Known prime factors (1 factor, 71.6 bits, 0.00191522% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
373636734801654496494032124792271.560465715151864017
11 × 42337741078547
2021-08-071142337741078547142.28351,284656,102

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-06T11:18:00Carsten Kossendeyleela20000265000---0.005--0.729%
2013-02-08T22:51:00Squeeky_SquirrelT7500_220060000945000---0.016--1.481%
2014-08-25T00:29:00ANONYMOUSManual testing7717877178---0.012--0.565%
2015-09-09T03:52:00Squeeky_SquirrelP4_26001800004950000---0.067--2.804%
2017-06-10T03:56:33Jocelyn Larouchelow 4M36000036000006---0.082--2.901%
2021-06-01T15:43:55axnManual testing14000000700000000---7.824--10.251%
2022-03-03T23:55:17Jocelyn LaroucheManual testing9000090000---0.014--0.623%
2022-03-22T11:09:00Jocelyn LaroucheManual testing100000100000---0.015--0.666%
2022-05-25T14:13:54Jocelyn LaroucheManual testing100000130364850---1.096--4.377%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-29T00:00:00ANONYMOUSv4_computers21260--0.041--
2009-03-04T08:04:00S485122USB-A260261--0.041--
2011-05-07T23:53:00Grant McCrackenthumper261262--0.082--
2012-04-21T16:41:00GrunwalderGIMPManual testing21263--0.427--
2016-02-23T16:29:37Mark RoseManual testing262263--0.263--
2015-01-23T13:17:00VictordeHollanderManual testing263264--0.525--
2015-01-23T13:17:00VictordeHollanderManual testing264265--1.000--
2016-02-25T15:27:56ramgeisManual testing265266--2.000--
2016-11-05T16:44:56Gordon SpenceManual testing266267--4.000--
2018-09-03T16:38:17TJAOIManual testing267268--8.000--
2020-12-11T01:51:32axnManual testing268269--16.00--
2021-03-17T01:39:57axnManual testing269270--32.00--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.294 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:2.294 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.58255.904%
25500000.05494.737%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.792
50000630000030.502


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computersAEA45045EA72CE370.392
1999-12-23T00:00:00ANONYMOUSv4_computersAEA45045EA72CE370.392


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-08T23:00:08kutenssol
3480165449649403212479
F7786B134230D9__no


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 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4950000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 77178 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 265000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-05-25T14:13:54+00:00