is 2 2441401 - 1
has 734935 decimal digits
takes 0.165 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L137A49C77BF0B863double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.414267.6471%1172000480000000.36476.4332%24.778969.7284%2.0813%
PrimeNet2590.031562.7119%100001800000.00192.5266%0.033363.6540%0.9421%
GPU722630.653765.0794%100001500000.00171.3067%0.655565.5357%0.4563%
Difference+5+23.7605+2.5677%+1162000+47850000+0.3630+5.1265%+24.1235+4.1927%+4.1927%

Known prime factors (1 factor, 73.8 bits, 0.00302314% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2441401165246399186038037345132373.8073384253532828856
23 × 3 × 97 × 199 × 7305111323
2020-07-071997305111323952.4338.98772.816

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2003-10-31T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.771%
2010-11-17T22:12:00Jocelyn LaroucheManual testing2000020000---0.002--0.262%
2011-01-12T10:21:00Oscar Östlin950001947500---0.019--2.372%
2014-01-19T02:43:00mikrMSI117200048000000---0.365--6.433%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-14T20:21:00Sturle Sundehomilius.ifi260261--0.063--
2012-06-06T16:43:00Sebastian HornbostelManual testing261262--0.126--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.402--
2015-02-27T20:41:00VictordeHollanderManual testing263264--0.804--
2015-02-27T20:41:00VictordeHollanderManual testing264265--1.530--
2015-10-25T20:35:02ramgeisManual testing265266--3.061--
2017-07-12T11:35:13Gordon SpenceManual testing266267--6.122--
2019-04-29T13:20:23TJAOIManual testing267268--12.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.086 GHz-days
Estimated T-Level:2.850
DigitsB1CurvesCompleteFacMiss
201100057 / 1000.57056.391%
255000057 / 2800.20481.551%

New Calculation Method

Total ECM effort:5.086 GHz-days
Estimated T-Level:2.850
DigitsB1CompleteFacMiss
20110001.83915.902%
25500000.16684.689%
302500000.01098.982%


ECM Summary

B1B2factorcurvesGHz-days
500005000000544.819
50000500000030.268


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computers137A49C77BF0B8630.165
2018-05-24T09:20:07kkmrkkblmbrbkold137A49C77BF0B8630.165


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-08T05:55:50pew10980xe_1
16524639918603803734513
69787730EBAED6FBno
2020-07-12T13:32:13Yves BellefeuilleRyzen_1600
16524639918603803734513
69787730EBAED6FBno


P-1 factor-bounds graph:
B1 = 1172000, B2 = 48000000 (P-1 stage 2)
B1 = 1172000 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2020-07-12T13:32:13+00:00