is 2 2909747 - 1
has 875922 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4BF3907F017A396Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.484667.6471%50000002000000001.74989.1909%22.234370.6206%2.9735%
PrimeNet2590.026462.7119%130002600000.00303.0661%0.029463.8552%1.1433%
GPU722630.548565.0794%160003000000.00351.9102%0.552065.7464%0.6671%
Difference+5+19.9360+2.5677%+4984000+199700000+1.7463+7.2807%+21.6823+4.8742%+4.8742%

Known prime factors (1 factor, 77.4 bits, 0.00266112% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29097472038610939729410341265992477.43235030725003400817
3 × 19 × 947 × 648969506723
2020-08-1494764896950672311,7423,959.87,395.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.246%
2009-07-03T00:43:00Carsten Kossendeyleela15000168750---0.003--0.736%
2010-12-24T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.273%
2011-01-27T12:24:00markrtiny1050002283750---0.025--2.581%
2015-04-25T17:20:00VictordeHollanderManual testing100000020000000---0.228--5.535%
2020-03-27T13:31:02masserManual testing500000020000000012---1.750--9.191%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-14T17:11:00Sturle Sundedittersdorf.ifi260261--0.053--
2011-12-16T15:15:00Grant McCrackenthumper261262--0.106--
2013-01-10T21:10:00dbaughManual testing262263--0.337--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.675--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.284--
2016-02-22T09:35:52ramgeisManual testing265266--2.568--
2017-11-19T23:57:49Gordon SpenceManual testing266267--5.136--
2018-12-17T01:16:49chuenkitManual testing267268--10.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.992 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:1.992 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.61354.178%
25500000.05594.611%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.887
50000500000010.105


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24T00:00:00ANONYMOUSv4_computers4BF3907F017A396D0.225
2018-10-02T18:49:13kkmrkkblmbrbkold4BF3907F017A396D0.225


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-15T19:06:31Massimo Cappelli (ik5pwa)maxlinux_8
203861093972941034126599
F60999168A604746no
2020-08-16T15:51:28kutensspica
203861093972941034126599
F60999168A604746no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-08-16T15:51:28+00:00