A093667 a(n) = prime(n) - prime(n+1) + prime(n+2).

4, 5, 9, 9, 15, 15, 21, 25, 25, 35, 35, 39, 45, 49, 53, 55, 65, 65, 69, 77, 77, 85, 91, 93, 99, 105, 105, 111, 123, 117, 133, 133, 147, 141, 155, 157, 161, 169, 173, 175, 189, 183, 195, 195, 209, 211, 215, 225, 231, 235, 235, 249, 247, 257, 263, 265, 275, 275, 279

Offset: 1

Author

Robert G. Wilson v, Apr 08 2004

Keywords

• nonn

Comments

Prime terms are balanced primes (A006562). - Zak Seidov, Mar 03 2019

a(n) = a(n+1) iff prime(n+3) - prime(n) = 2 * (prime(n+2) - prime(n+1)). It's not possible to get a(n) = a(n+1) = a(n+2). - Bernard Schott, Mar 03 2019

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A001223, A006562.

Programs

Magma

[NthPrime(n)-NthPrime(n+1)+NthPrime(n+2): n in [1..60]]; // Vincenzo Librandi, Apr 17 2015

Mathematica

Table[Prime[n] + Prime[n + 2] - Prime[n + 1], {n, 75}]
#[[1]]-#[[2]]+#[[3]]&/@Partition[Prime[Range[70]],3,1] (* Harvey P. Dale, Oct 28 2018 *)

PARI

vector(80, n, prime(n) - prime(n+1) + prime(n+2)) \\ Michel Marcus, Apr 17 2015

Formula

a(n) = A001223(n+1) + A000040(n). - Michel Marcus, Apr 17 2015