is 2 3072283 - 1
has 924850 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-L56F486CEC7E4700Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.400867.6471%30722831166896501.14318.2483%20.543970.3156%2.6686%
PrimeNet2600.050063.3333%120002200000.00292.5262%0.052964.2596%0.9263%
GPU722641.158565.6250%140002200000.00311.4670%1.161666.1293%0.5043%
Difference+4+18.2423+2.0221%+3058283+116469650+1.1400+6.7812%+19.3823+4.1863%+4.1863%

Known prime factors (1 factor, 102.4 bits, 0.00333421% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3072283686161472094282196180332813732731102.4361116696398239163182851861
3 × 11 × 251 × 811 × 83983 × 193043 × 10253713
2018-01-25193043102537134.731e+100.09150.1288

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.249%
2010-09-21T14:00:00markrtiny1100002447500---0.029--2.668%
2016-03-08T02:57:21Squeeky_SquirrelP4_2600205000599625012---0.064--3.615%
2018-01-25T22:49:51mikrMSI30000001000000001231102.4361.0220.5232.0458.041%
2021-12-28T19:51:47Jocelyn LaroucheManual testing30722833072283---0.379--3.737%
2021-12-28T23:20:11Jocelyn LaroucheManual testing3072283116689650-
skipped known factor: 6861614720942821961803328137327
--1.143--8.248%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-13T00:00:00ANONYMOUSv4_computers21259--0.025--
2001-06-23T00:00:00ANONYMOUSv4_computers21260--0.050--
2009-02-13T03:43:00Sturle Sundegoomba.ifi260261--0.050--
2011-10-26T08:39:00Sid & AndyBuzz261262--0.100--
2013-01-07T13:56:00dbaughManual testing262263--0.320--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.639--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.216--
2015-06-06T19:31:00ThaManual testing265266--2.432--
2021-02-18T11:47:35Jocelyn LaroucheManual testing265266--2.432--
2021-02-18T21:10:23Jocelyn LaroucheManual testing266267--4.865--
2017-05-14T00:43:38Gordon SpenceManual testing266267--4.865--
2021-02-26T09:11:45Jocelyn LaroucheManual testing267268--9.73--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.749 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.749 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.749


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-16T00:00:00ANONYMOUSv4_computers56F486CEC7E4700E0.261
1999-12-30T00:00:00ANONYMOUSv4_computers56F486CEC7E4700E0.261


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-29T01:02:21Oliver KruseGTX-0
6861614720942821961803328137327
C722E9D882E8C2__no
2018-01-29T10:37:14AdolfNorManual testing
6861614720942821961803328137327
C722E9D882E8C2__no
2018-02-02T13:45:09Luigi MorelliAruba_01
6861614720942821961803328137327
C722E9D882E8C2__no


P-1 factor-bounds graph:
B1 = 3072283, B2 = 116689650 (P-1 stage 2)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3072283 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 205000, B2 = 5996250 (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)
102
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105
106
107
102
103
104
105
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109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
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2100
2110
Last modified: 2021-12-28T23:20:11+00:00