is 2 3046753 - 1
has 917165 decimal digits
takes 0.259 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7FE38EA9BF1162D5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.563467.6471%10546741199121000.92937.5112%20.492770.0771%2.4301%
PrimeNet2600.050463.3333%120002200000.00292.5223%0.053364.2582%0.9248%
GPU722641.168265.6250%130002200000.00301.4307%1.171266.1168%0.4918%
Difference+4+18.3952+2.0221%+1041674+119692100+0.9263+6.0805%+19.3215+3.9604%+3.9604%

Known prime factors (1 factor, 77.4 bits, 0.00254162% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30467532045804801936745683414812477.43733573525683518580
22 × 5 × 337 × 4651 × 1071003067
2016-01-294651107100306715,0487.201713.450

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.147%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-10-03T05:44:00markrtiny1100002420000---0.029--2.658%
2021-01-15T03:12:21Jocelyn LaroucheManual testing30467530467536---0.056--3.285%
2022-01-23T08:34:59Jocelyn LaroucheManual testing1054674119912100---0.929--7.511%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-21T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T03:51:00Sturle Sundegonsha.ifi260261--0.050--
2010-11-09T23:22:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.322--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.644--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.226--
2015-06-06T19:31:00ThaManual testing265266--2.453--
2022-03-12T04:25:17LordJuliusManual testing266267--4.905--
2021-05-07T11:32:48Jocelyn LaroucheManual testing267268--9.81--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.397 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:1.397 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.38767.903%
25500000.03596.562%
302500000.00299.785%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.048
50000500000030.349


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00gbvalorv4_computers7FE38EA9BF1162D50.259


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-28T07:38:40Oliver KruseGTX-3
204580480193674568341481
2E35C78FEAC35D__no
2017-12-10T23:14:43kkmrkkblmbrbkc4.xlarge
204580480193674568341481
2E35C78FEAC35D__no


P-1 factor-bounds graph:
B1 = 1054674, B2 = 119912100 (P-1 stage 2)
B1 = 1054674 (P-1 stage 1)
B1 = 304675, B2 = 3046753 (P-1 stage 2)
B1 = 304675 (P-1 stage 1)
B1 = 110000, B2 = 2420000 (P-1 stage 2)
B1 = 110000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-03-12T04:25:17+00:00