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A126955 Numbers n such that 2n+1, 3n+2 and 4n+3 are primes. 2

%I #10 Oct 30 2019 17:30:09

%S 1,5,65,89,119,215,455,755,779,965,1175,1349,1409,1469,1679,1745,1769,

%T 1889,1955,2009,2105,2435,2519,2525,2585,2639,4685,5045,5165,5735,

%U 5915,5969,6725,7415,7469,7895,8045,9065,9365,9449,9659,9779,9959,10379

%N Numbers n such that 2n+1, 3n+2 and 4n+3 are primes.

%H Harvey P. Dale, <a href="/A126955/b126955.txt">Table of n, a(n) for n = 1..1000</a>

%e Take n = 89. Then 2*89 + 1 = 179, 3*89 + 2 = 269 and 4*89 + 3 = 359 are primes.

%t Select[Range[10500], PrimeQ[2# + 1] && PrimeQ[3# + 2] && PrimeQ[4# + 3] &] (* _Ray Chandler_, Mar 20 2007 *)

%t Select[Range[11000],AllTrue[{2#+1,3#+2,4#+3},PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* _Harvey P. Dale_, Jan 23 2017 *)

%Y Intersection of A005097, A024893, A095278. Cf. A126956.

%K nonn

%O 1,2

%A _J. M. Bergot_, Mar 19 2007

%E Extended by _Ray Chandler_, _Robert G. Wilson v_ and _Stuart Clary_, Mar 20 2007

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)