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A161725 Primes p such that also p+30 and p-30 are primes. 1


%S 37,41,43,53,59,67,71,73,83,97,101,109,127,137,167,181,193,197,211,

%T 227,241,263,281,307,337,367,379,389,409,419,431,449,461,479,491,571,

%U 577,587,601,617,631,643,647,661,739,757,827,853,857,907,911,937,941,967

%N Primes p such that also p+30 and p-30 are primes.

%C Solutions of the equation (p-30)' + p' + (p+30)' = 3, where p' is the arithmetic derivative of p. [_Paolo P. Lava_, Nov 08 2012]

%H Daniel Starodubtsev, <a href="/A161725/b161725.txt">Table of n, a(n) for n = 1..10000</a>

%e The prime p=37 is in the sequence because 37-30=7 and 37+30=67 are also primes.

%t q=6*5; lst={}; Do[p=Prime[n]; If[PrimeQ[p-q] && PrimeQ[p+q], AppendTo[lst,p]], {n, 5000}]; lst

%Y Cf. A006489, A137796, A161723, A161724, A052243.

%K nonn

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jun 17 2009

%E Definition edited by _Emeric Deutsch_, Jun 28 2009

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Last modified October 1 03:02 EDT 2020. Contains 337441 sequences. (Running on oeis4.)