A261465 a(n) = prime(n+1)^2 - prime(n).

7, 22, 44, 114, 158, 276, 344, 510, 818, 932, 1338, 1644, 1808, 2166, 2762, 3428, 3662, 4428, 4974, 5258, 6168, 6810, 7838, 9320, 10104, 10508, 11346, 11774, 12660, 16016, 17034, 18638, 19184, 22062, 22652, 24498, 26412, 27726, 29762

Offset

1,1

Links

Table of n, a(n) for n=1..39.

Formula

a(n) = A036689(n+1) + A001223(n). - Michel Marcus, Aug 21 2015 [Corrected by Georg Fischer, Dec 12 2022]

a(n) ~ n^2 log^2 n. - Charles R Greathouse IV, Aug 22 2015

Example

a(2) = 5^2 - 3 = 22.

Mathematica

Table[Prime[n + 1]^2 - Prime[n], {n, 60}] (* Vincenzo Librandi, Aug 20 2015 *)

Prog

(PARI) first(m)=vector(m, i, prime(i+1)^2 - prime(i)) \\ Anders Hellström, Aug 20 2015
(PARI) a(n, p=prime(n)); nextprime(p+1)^2-p \\ Charles R Greathouse IV, Aug 22 2015
(PARI) first(n)=my(v=primes(n+1)); vector(n, i, v[i+1]^2-v[i]) \\ Charles R Greathouse IV, Aug 22 2015
(Magma) [NthPrime(n+1)^2-NthPrime(n): n in [1.. 70]]; // Vincenzo Librandi, Aug 20 2015

Crossrefs

Cf. A036689, A001223, A069482, A129701.

Sequence in context: A171441 A341401 A320694 * A033954 A159227 A081274

Adjacent sequences: A261462 A261463 A261464 * A261466 A261467 A261468

Keyword

nonn,easy

Author

Altug Alkan, Aug 20 2015

Status

approved