A152117 a(n) = n*(n-th prime) + (n+1)*((n+1)-th prime).

8, 21, 43, 83, 133, 197, 271, 359, 497, 631, 785, 977, 1135, 1307, 1553, 1851, 2101, 2371, 2693, 2953, 3271, 3647, 4045, 4561, 5051, 5407, 5777, 6157, 6551, 7327, 8129, 8713, 9247, 9941, 10651, 11245, 12003, 12707, 13433, 14259, 14941, 15815, 16705

Offset: 1

Author

Klaus Brockhaus, Dec 10 2008

Keywords

• nonn

Comments

a(n) = A033286(n) + A033286(n+1).

Examples

			5*(fifth prime) + 6*(sixth prime) = 5*11 + 6*13 = 55 + 78 = 133.
		

Links

• Klaus Brockhaus, Table of n, a(n) for n=1..1000

Crossrefs

Cf. A000040 (prime numbers), A033286 (n*(n-th prime)), A033287 (first differences of A033286), A119487 (primes in this sequence).

Programs

Magma

[ n*NthPrime(n)+(n+1)*NthPrime(n+1): n in [1..43] ];

Mathematica

Total/@Partition[Times@@@Table[{n,Prime[n]},{n,50}],2,1] (* Harvey P. Dale, Aug 13 2019 *)

PARI

a(n) = n*prime(n) + (n+1)*prime(n+1); \\ Michel Marcus, Feb 05 2016