is 2 3109697 - 1
has 936113 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-L7C7DB15DF1B12109double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.391868.1159%31096976682899304.85639.7010%43.248171.2090%3.0931%
PrimeNet2600.049463.3333%130002400000.00312.6437%0.052564.3027%0.9693%
GPU722641.144665.6250%140002400000.00321.5080%1.147866.1434%0.5184%
Difference+5+37.2472+2.4909%+3095697+668049930+4.8530+8.1930%+42.1002+5.0656%+5.0656%

Known prime factors (1 factor, 95.1 bits, 0.00305881% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3109697430385357406629361300829610712995.1206920052940955812757655
3 × 5 × 269 × 3067 × 6841 × 106129 × 770191
2018-08-291061297701913.192e+90.01760.0267

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T21:39:00Carsten Kossendeyleela15000180000---0.003--0.651%
2011-08-23T11:53:00Squeeky_SquirrelT7500_22001000002125000---0.026--2.253%
2016-08-31T03:20:26Jocelyn Larouchelow4M10000042500006---0.040--2.635%
2016-12-28T01:45:58Jocelyn Larouchelow 4M120000120000---0.015--0.827%
2017-01-30T01:30:33Jocelyn Larouchelow 4M156000156000---0.019--0.960%
2017-02-04T18:42:37Jocelyn Larouchelow 4M187200187200---0.023--1.060%
2017-02-16T04:19:51Jocelyn Larouchelow 4M22464022464006---0.041--2.631%
2017-03-11T20:20:08Jocelyn Larouchelow 4M26956826956806---0.050--2.825%
2018-08-29T19:49:36mikrMSI300000030000002995.1200.3700.5290.7403.368%
2021-11-20T13:50:22Jocelyn LaroucheManual testing31096973109697-
skipped known factor: 43038535740662936130082961071
--0.384--3.407%
2021-12-08T12:48:17Jocelyn LaroucheManual testing31096973109697012-
skipped known factor: 43038535740662936130082961071
--0.572--6.066%
2021-12-21T19:29:55Jocelyn LaroucheManual testing3109697139847400-
skipped known factor: 43038535740662936130082961071
--1.303--7.839%
2021-12-22T09:19:43Jocelyn LaroucheManual testing3109697668289930-
skipped known factor: 43038535740662936130082961071
--4.856--9.701%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-11T00:00:00ANONYMOUSv4_computers21259--0.025--
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-02-13T15:33:00Sturle Sundegollumilla.ifi260261--0.049--
2011-11-20T19:21:00markroldgamer261262--0.099--
2013-01-03T08:41:00dbaughManual testing262263--0.316--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.631--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.202--
2015-06-11T22:04:00ThaManual testing265266--2.403--
2021-01-03T02:39:42Jocelyn LaroucheManual testing265266--2.403--
2017-04-11T13:39:12Gordon SpenceManual testing266267--4.806--
2021-02-25T15:38:26Jocelyn LaroucheManual testing267268--9.61--
2022-01-09T11:52:12Jocelyn LaroucheManual testing268269--19.22--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.753 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.753 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.753


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-05-23T00:00:00ANONYMOUSv4_computers7C7DB15DF1B121090.265
1999-05-16T00:00:00ANONYMOUSv4_computers7C7DB15DF1B121090.265


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-30T03:32:17Oliver KruseGTX-2
43038535740662936130082961071
57E6D18C4233A3__no
2018-09-03T17:58:15Luigi MorelliPentium_G2030
43038535740662936130082961071
57E6D18C4233A3__no


P-1 factor-bounds graph:
B1 = 3109697, B2 = 668289930 (P-1 stage 2)
B1 = 3109697, B2 = 139847400 (P-1 stage 2)
B1 = 3109697, B2 = 31096970 (P-1 stage 2)
B1 = 3109697 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 269568, B2 = 2695680 (P-1 stage 2)
B1 = 224640, B2 = 2246400 (P-1 stage 2)
B1 = 100000, B2 = 4250000 (P-1 stage 2)
B1 = 269568 (P-1 stage 1)
B1 = 224640 (P-1 stage 1)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 187200 (P-1 stage 1)
B1 = 156000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (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: 2022-01-09T11:52:12+00:00