is 2 3115933 - 1
has 937990 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L432F1DCEFFC26F8Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.314968.1159%31159336683546104.85759.7046%43.172471.2102%3.0942%
PrimeNet2600.049363.3333%130002400000.00312.6446%0.052464.3030%0.9697%
GPU722641.142365.6250%140002400000.00321.5086%1.145566.1436%0.5186%
Difference+5+37.1726+2.4909%+3101933+668114610+4.8542+8.1960%+42.0269+5.0666%+5.0666%

Known prime factors (1 factor, 95.6 bits, 0.00306848% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3115933605406920882917248054454196332995.6129714697345593073536152
23 × 661 × 94441 × 294509 × 66050891
2018-10-12294509660508914.800e+90.47850.8295

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T00:39:00Carsten Kossendeyleela15000180000---0.003--0.651%
2011-08-25T22:19:00Squeeky_SquirrelT7500_22001050002126250---0.027--2.277%
2016-09-28T22:16:06Squeeky_Squirreli5-5250U_1600195000546000012---0.059--3.161%
2016-10-03T01:22:51Jocelyn Larouchelow 4M10500025515006---0.029--2.377%
2018-07-16T23:48:56Jocelyn Larouchelow 4M78000023400006---0.107--3.017%
2018-07-17T07:39:18Jocelyn Larouchelow 4M78000031200004---0.112--3.271%
2018-10-12T08:27:30mikrMSI3000000100000000122995.6121.0220.5302.0457.422%
2020-12-25T17:15:25Jocelyn LaroucheManual testing15371283115933012---0.389--5.754%
2021-08-06T11:21:40Jocelyn LaroucheManual testing31159333115933---0.385--3.410%
2021-12-08T12:48:17Jocelyn LaroucheManual testing31159333115933012---0.573--6.070%
2021-12-21T19:29:55Jocelyn LaroucheManual testing3115933139916700-
skipped known factor: 60540692088291724805445419633
--1.304--7.842%
2021-12-22T09:19:43Jocelyn LaroucheManual testing3115933668354610-
skipped known factor: 60540692088291724805445419633
--4.857--9.705%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-14T04:50:00S485122USB-Z260261--0.049--
2011-11-25T11:48:00Grant McCrackenthumper261262--0.099--
2013-01-07T13:56:00dbaughManual testing262263--0.315--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.630--
2021-01-02T01:34:49Jocelyn LaroucheManual testing264265--1.199--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.199--
2015-06-11T22:04:00ThaManual testing265266--2.398--
2021-01-03T02:39:40Jocelyn LaroucheManual testing265266--2.398--
2017-04-14T16:24:30Gordon SpenceManual testing266267--4.796--
2021-02-25T15:38:25Jocelyn LaroucheManual testing267268--9.59--
2022-01-09T02:58:42Jocelyn LaroucheManual testing268269--19.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.754 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.754 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.754


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-08T00:00:00ANONYMOUSv4_computers432F1DCEFFC26F8D0.265
1999-06-15T00:00:00ANONYMOUSv4_computers432F1DCEFFC26F8D0.265


PRP results:
dateuseridcompidcofactorsres64PRP
2018-10-23T10:04:06Hazar Temizel
60540692088291724805445419633
B18B94F64D82D3__no
2018-10-24T20:26:27arnaudstm-11-010
60540692088291724805445419633
B18B94F64D82D3__no


P-1 factor-bounds graph:
B1 = 3115933, B2 = 668354610 (P-1 stage 2)
B1 = 3115933, B2 = 139916700 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3115933, B2 = 31159330 (P-1 stage 2)
B1 = 1537128, B2 = 31159330 (P-1 stage 2)
B1 = 3115933 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 1537128 (P-1 stage 1)
B1 = 780000, B2 = 3120000 (P-1 stage 2)
B1 = 780000, B2 = 2340000 (P-1 stage 2)
B1 = 780000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2551500 (P-1 stage 2)
B1 = 105000, B2 = 2126250 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-09T02:58:42+00:00