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A195271 1.5-gap primes: Prime p is a term iff there is no prime between 1.5*p and 1.5*q, where q is the next prime after p. 8

%I #11 Aug 03 2014 14:01:33

%S 2,5,17,29,41,79,101,137,149,163,191,197,227,269,281,313,349,353,461,

%T 463,521,541,569,593,599,613,617,641,757,769,809,821,827,857,881,887,

%U 941,1009,1049,1061,1087,1093,1097,1117,1151,1223,1229,1277,1279,1289

%N 1.5-gap primes: Prime p is a term iff there is no prime between 1.5*p and 1.5*q, where q is the next prime after p.

%C For a real r>1, a prime p is called an r-gap prime, if there is no prime between r*p and r*q, where q is the next prime after p. In particular, 2-gap primes form A080192 and 3-gap primes form A195270.

%t Select[Prime[Range[400]], PrimePi[3*NextPrime[#]/2] == PrimePi[3*#/2] &] (* _T. D. Noe_, Sep 14 2011 *)

%Y Cf. A080192, A195270, A193507, A194186, A164368, A194598, A194658, A194659, A194674, A164288, A164294.

%K nonn

%O 1,1

%A _Vladimir Shevelev_, Sep 14 2011

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)