is 2 3061111 - 1
has 921487 decimal digits
takes 0.261 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP96CD4C8E57DB80CFverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26939.001168.1159%32462415185035765516.229312.6538%55.230572.1505%4.0346%
PrimeNet2600.050263.3333%120002200000.00292.5245%0.053164.2590%0.9256%
GPU722641.162865.6250%140002200000.00311.4660%1.165966.1289%0.5039%
Difference+5+37.8384+2.4909%+32448415+1850137655+16.2262+11.1879%+54.0646+6.0216%+6.0216%

Known prime factors (1 factor, 74.8 bits, 0.00244333% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3061111327325603628135783604972374.7935346516405777768
23 × 32 × 13 × 23 × 29 × 8563853339
2021-04-102985638533391,538.857.581107.55

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.201%
2010-09-25T21:03:00markrtiny1100002447500---0.029--2.370%
2016-03-25T12:45:15Squeeky_SquirrelP4_2600205000574000012---0.063--3.214%
2017-11-17T03:58:27mikrMSI300000010000000012---1.022--7.409%
2022-02-06T12:04:25Jocelyn LaroucheManual testing1000000119912100---0.923--6.849%
2022-04-10T05:27:58oodairacom532462415185035765512---16.23--12.654%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-09T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T16:30:00Sturle Sundegimo.ifi260261--0.050--
2011-10-06T23:51:00Sid & AndyBuzz261262--0.100--
2013-01-07T13:54:00dbaughManual testing262263--0.321--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.641--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.221--
2015-06-06T19:31:00ThaManual testing265266--2.441--
2017-05-09T09:30:26Gordon SpenceManual testing266267--4.882--
2022-01-20T22:38:00Jocelyn LaroucheManual testing267268--9.76--
2018-07-30T10:12:18ramgeisManual testing267268--9.76--
2021-04-06T16:36:35TJAOIManual testing268269--19.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.536 GHz-days
Estimated T-Level:2.750
DigitsB1CurvesCompleteFacMiss
201100055 / 1000.55057.535%
255000055 / 2800.19682.137%

New Calculation Method

Total ECM effort:6.536 GHz-days
Estimated T-Level:2.750
DigitsB1CompleteFacMiss
20110001.79016.700%
25500000.16285.036%
302500000.01099.006%


ECM Summary

B1B2factorcurvesGHz-days
500005000000465.361
50000500000020.233
50000675000070.942


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computersEA8160FFC908CB__0.261


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-10T08:36:35123456789123456789byebye
32732560362813578360497
96CD4C8E57DB80CFno


P-1 factor-bounds graph:
B1 = 32462415, B2 = 1850357655 (P-1 stage 2)
B1 = 32462415 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 205000, B2 = 5740000 (P-1 stage 2)
B1 = 110000, B2 = 2447500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 110000 (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: 2022-04-10T05:27:58+00:00