A247380 First differences of A117495.

3, 7, 11, 23, 21, 37, 31, 51, 77, 49, 97, 85, 67, 99, 137, 149, 93, 169, 143, 111, 199, 167, 221, 281, 197, 153, 211, 163, 225, 533, 251, 323, 203, 479, 219, 367, 379, 315, 401, 413, 261, 601, 277, 369, 287, 751, 775, 415, 325, 429, 539, 343, 771, 575, 587, 599

Offset: 1

Author

Odimar Fabeny, Sep 15 2014

Keywords

• easy
• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A117495.

Programs

Maple

with(numtheory):
a:= n-> ithprime(n+1)*n-ithprime(n)*(n-1):
seq(a(n), n=1..60);  # Alois P. Heinz, Sep 15 2014

PARI

a(n)=my(p=prime(n++)); p+n*(nextprime(p+1)-p) \\ Charles R Greathouse IV, Sep 15 2014

Formula

a(n) = A117495(n+1) - A117495(n).

Extensions

More terms from Alois P. Heinz, Sep 15 2014