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A101768 Numbers n such that n, 2n+1, 3n+2, 4n+3, 5n+4, 6n+5, 7n+6 are primes. 5

%I #13 Nov 21 2013 12:48:36

%S 2894219,5246009,8189999,8678669,13951559,18160379,24765509,38911949,

%T 40645919,60041519,64523969,108405989,124028309,126392699,132767039,

%U 142738679,189142589,242024369,248451839,325561319,354218759,392136359

%N Numbers n such that n, 2n+1, 3n+2, 4n+3, 5n+4, 6n+5, 7n+6 are primes.

%t a={}; Do[p=Prime[n]; If[PrimeQ[p*2+1] && PrimeQ[p*3+2] && PrimeQ[p*4+3] && PrimeQ[p*5+4] && PrimeQ[p*6+5] && PrimeQ[p*7+6], AppendTo[a, p]], {n, 1, 17^5}]; Print[a]; - _Vladimir Joseph Stephan Orlovsky_, Apr 29 2008

%t Select[Range[4*10^8], And@@PrimeQ[#*Range[7]+Range[0,6]]&] (* _Harvey P. Dale_, Jul 22 2011 *)

%Y Cf. A000040, A005384, A067256-A067258, A101767-A101770.

%K nonn,easy

%O 1,1

%A _Jonathan Vos Post_ and _Ray Chandler_, Dec 31 2004

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Last modified April 19 05:19 EDT 2024. Contains 371782 sequences. (Running on oeis4.)