A076621 - OEIS

A076621

Least square greater than the product of two successive primes.

9, 16, 36, 81, 144, 225, 324, 441, 676, 900, 1156, 1521, 1764, 2025, 2500, 3136, 3600, 4096, 4761, 5184, 5776, 6561, 7396, 8649, 9801, 10404, 11025, 11664, 12321, 14400, 16641, 17956, 19044, 20736, 22500, 23716, 25600, 27225, 28900, 30976, 32400, 34596, 36864

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..43.

FORMULA

a(n) = A048761(A006094(n)).

a(n) = prime(n)*prime(n+1)+((prime(n)-prime(n+1))/2)^2 = A006094(n) + A074927(n) for n > 1.

a(n) = ((prime(n)+prime(n+1))/2)^2 for n > 1.

MATHEMATICA

Ceiling[Sqrt[Times@@#]]^2&/@Partition[Prime[Range[50]], 2, 1] (* Harvey P. Dale, Aug 26 2013 *)

PROG