A077023 Integer values of sum of first k primes squared divided by k-th prime, for some k (A077022).

2, 29, 284, 410066261, 941945317

Offset: 1

Author

Randy L. Ekl, Zak Seidov, Oct 17 2002

Keywords

• nonn
• more

Comments

Remainder, a(n), when sum of first n primes squared is divided by n-th prime in A072004. In A077023, 5 values of n such that a(n)=0 are given. In the sequence, the corresponding integer values of sum of first n primes squared divided by n-th prime are given. For primes <100,000,000, there are no other cases of a(n)=0.

Examples

			29 is a term because A024450(6)/prime(6) = 29;
284 is a term because A024450(17)/prime(17) = 284;
410066261 is a term because A024450(11156)/prime(11156) = 410066261;
941945317 is a term because A024450(16548)/prime(16548) = 941945317.
		

Crossrefs

Cf. A024450, A072004, A077022.

Formula

a(n) = A024450(A077022(n))/prime(A077022(n)). - Michel Marcus, Jan 14 2023