is 2 3690941 - 1
has 1111084 decimal digits
takes 0.388 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC1E509A1336C0C7Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27064.739868.5714%300000006000000009.298110.3840%74.037971.8350%3.2635%
PrimeNet2600.041663.3333%160003200000.00503.0823%0.046664.4635%1.1302%
GPU722640.964365.6250%220004500000.00692.1047%0.971266.3485%0.7235%
Difference+6+63.7754+2.9464%+29978000+599550000+9.2912+8.2793%+73.0666+5.4865%+5.4865%

Known prime factors (1 factor, 75.1 bits, 0.00203537% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3690941411759205008546612957592375.1245577970563720019
31 × 109 × 1033 × 1598040217
2021-09-04103315980402172,350.913.25924.765

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-13T20:54:00Carsten Kossendeydurandal20000260000---0.005--0.723%
2012-03-23T22:31:00Squeeky_SquirrelP4_2600900001665000---0.027--1.887%
2016-07-09T02:37:06Jocelyn LaroucheManual testing9000033300006---0.041--2.223%
2016-12-26T21:22:49Jocelyn Larouchelow 4M108000108000---0.016--0.696%
2016-12-29T20:13:44Jocelyn Larouchelow 4M129600129600---0.020--0.776%
2017-01-19T17:19:09Jocelyn Larouchelow 4M155520155520---0.024--0.862%
2017-02-04T18:42:37Jocelyn Larouchelow 4M186624186624---0.028--0.954%
2017-02-13T00:36:32Jocelyn Larouchelow 4M22394822394806---0.051--2.407%
2017-03-01T13:23:06Squeeky_SquirrelP4_2600235000693250012---0.091--3.151%
2020-11-24T01:44:27axnManual testing3000000060000000012---9.298--10.384%
2022-03-04T04:18:41Jocelyn LaroucheManual testing9000090000---0.014--0.622%
2022-03-22T11:10:13Jocelyn LaroucheManual testing100000100000---0.015--0.664%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:36Mark RoseManual testing21260--0.042--
2009-03-07T17:51:00S485122USB-Z260261--0.042--
2011-05-22T01:38:00Grant McCrackenthumper261262--0.083--
2012-06-05T02:34:00GrunwalderGIMPManual testing21263--0.432--
2016-02-23T16:29:36Mark RoseManual testing262263--0.266--
2015-01-25T20:42:00VictordeHollanderManual testing263264--0.532--
2015-01-25T20:42:00VictordeHollanderManual testing264265--1.012--
2015-10-20T08:54:43ramgeisManual testing265266--2.025--
2017-01-05T14:31:29Gordon SpenceManual testing266267--4.049--
2018-07-23T16:23:33TJAOIManual testing267268--8.098--
2020-10-30T02:11:43axnManual testing268269--16.20--
2020-10-30T02:11:43axnManual testing269270--32.39--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.873 GHz-days
Estimated T-Level:1.300
DigitsB1CurvesCompleteFacMiss
201100026 / 1000.26077.004%
255000026 / 2800.09391.117%

New Calculation Method

Total ECM effort:3.873 GHz-days
Estimated T-Level:1.300
DigitsB1CompleteFacMiss
20110000.83943.227%
25500000.07692.700%
302500000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
500005000000192.831
50000500000071.043


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24T00:00:00ANONYMOUSv4_computersC1E509A1336C0C7C0.388


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-11T13:35:03krackerGRID-11
41175920500854661295759
0DA22FC0BA72C1__no
2021-09-12T03:53:09Oliver KruseIOS-2
41175920500854661295759
0DA22FC0BA72C131no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 235000, B2 = 6932500 (P-1 stage 2)
B1 = 223948, B2 = 2239480 (P-1 stage 2)
B1 = 90000, B2 = 3330000 (P-1 stage 2)
B1 = 235000 (P-1 stage 1)
B1 = 223948 (P-1 stage 1)
B1 = 186624 (P-1 stage 1)
B1 = 90000, B2 = 1665000 (P-1 stage 2)
B1 = 155520 (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)
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: 2022-03-22T11:10:13+00:00