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A256476 Numbers n for which there are more primes in range [prime(n)*prime(n+1), prime(n+1)^2] than in range [prime(n)^2, prime(n)*prime(n+1)]. 4

%I #9 Mar 30 2015 21:42:18

%S 2,3,4,5,6,7,8,9,11,12,15,16,18,19,21,22,23,24,27,28,29,30,31,32,33,

%T 34,35,36,37,40,46,47,51,52,53,54,56,57,60,62,64,66,67,68,70,71,72,75,

%U 76,78,79,80,82,83,84,85,87,89,91,93,94,95,97,99,100,102,104,105,111,112,113,114,115,118,119,123

%N Numbers n for which there are more primes in range [prime(n)*prime(n+1), prime(n+1)^2] than in range [prime(n)^2, prime(n)*prime(n+1)].

%C Positions where A256470 is strictly positive.

%H Antti Karttunen, <a href="/A256476/b256476.txt">Table of n, a(n) for n = 1..3413</a>

%t Select[Range@125, Count[Range[Prime[#] Prime[# + 1], Prime[# + 1]^2], _?PrimeQ] > Count[Range[Prime[#]^2, Prime[#] Prime[# + 1]], _?PrimeQ] &] (* _Michael De Vlieger_, Mar 30 2015 *)

%o (Scheme, with _Antti Karttunen_'s IntSeq-library)

%o (define A256476 (MATCHING-POS 1 1 (lambda (n) (< 0 (A256470 n)))))

%Y Complement: A256477.

%Y Setwise difference of A256474 and A256471.

%Y Cf. A256470.

%K nonn

%O 1,1

%A _Antti Karttunen_, Mar 30 2015

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)