A256475 Numbers n for which there are more primes in range [prime(n)^2, prime(n)*prime(n+1)] than in range [prime(n)*prime(n+1), prime(n+1)^2].

13, 25, 26, 38, 39, 41, 42, 43, 44, 45, 48, 49, 50, 55, 58, 59, 61, 63, 65, 69, 73, 74, 77, 81, 86, 88, 92, 96, 98, 101, 103, 106, 107, 108, 109, 116, 117, 120, 121, 122, 124, 125, 128, 141, 142, 143, 145, 146, 148, 149, 151, 155, 158, 159, 166, 169, 172, 173, 177, 179, 181, 182, 183, 190, 191, 194, 195, 196, 197, 206

Offset

1,1

Comments

Positions of negative terms in A256470.

Equally: Numbers n for which there are less primes in range [prime(n)*prime(n+1), prime(n+1)^2] than in range [prime(n)^2, prime(n)*prime(n+1)].

Links

Antti Karttunen, Table of n, a(n) for n = 1..3084

Mathematica

Select[Range@210, Count[Range[Prime[#]^2, Prime[#] Prime[# + 1]], _?PrimeQ] > Count[Range[Prime[#] Prime[# + 1], Prime[# + 1]^2], _?PrimeQ] &] (* Michael De Vlieger, Mar 30 2015 *)

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A256475 (MATCHING-POS 1 1 (lambda (n) (negative? (A256470 n)))))

Crossrefs

Complement: A256474.

Setwise difference of A256477 and A256471.

Cf. A256485 (corresponding primes).

Cf. A256470.

Sequence in context: A014357 A018991 A018948 * A335374 A375296 A375295

Adjacent sequences: A256472 A256473 A256474 * A256476 A256477 A256478

Keyword

nonn

Author

Antti Karttunen, Mar 30 2015

Status

approved