A111737 Distance between k*(n-th prime) and next prime, k=5 case.

1, 2, 4, 2, 4, 2, 4, 2, 12, 4, 2, 6, 6, 8, 4, 4, 12, 2, 2, 4, 2, 2, 4, 4, 2, 4, 6, 6, 2, 4, 6, 4, 6, 6, 6, 2, 2, 6, 4, 12, 12, 2, 12, 2, 6, 2, 6, 2, 16, 6, 6, 6, 8, 4, 4, 4, 16, 6, 14, 4, 8, 6, 8, 4, 2, 12, 2, 8, 6, 2, 12, 6, 12, 2, 6, 16, 4, 2, 6, 8, 4, 6, 6, 14, 8, 6, 6, 2, 4, 18, 4, 4, 2, 4, 8, 6, 4, 4, 2

Offset: 1

Author

Zak Seidov, Nov 18 2005

Keywords

• nonn

Comments

Other cases: k=1 A001223 Differences between consecutive primes, k=2 A059787, k=3 A111735, k=4 A111736, k=6 A111738, k=7 A111739, k=8 A111740, k=9 A111741, k=10 A111742.

Examples

			a(1)=1 because prime(1)=2 and 5*2+1=11
(prime).
		

Crossrefs

Cf. A001223, A059787, A111735, A111736, A111738, A111739, A111740, A111741, A111742.

Programs

Mathematica

NextPrime[#]-#&/@(5Prime[Range[100]]) (* Harvey P. Dale, Oct 21 2011 *)