A305293 Prime shift towards larger primes, conjugated by the EKG-permutation: a(n) = A064664(A003961(A064413(n))).

1, 5, 6, 11, 10, 24, 39, 22, 15, 14, 25, 69, 21, 20, 53, 130, 76, 51, 29, 28, 54, 112, 97, 50, 78, 96, 34, 33, 84, 209, 232, 38, 37, 85, 153, 44, 43, 111, 156, 179, 109, 58, 57, 142, 383, 140, 148, 352, 281, 124, 249, 299, 93, 118, 218, 62, 61, 143, 172, 68, 67, 173, 641, 696, 162, 75, 74, 210, 227, 238, 191, 535, 82, 81

Offset: 1

Author

Antti Karttunen, May 31 2018

Keywords

• nonn

Comments

Permutation of A064957.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..11856
• Index entries for sequences related to EKG sequence
• Index entries for sequences computed from indices in prime factorization

Crossrefs

Cf. A305294 (a left inverse).

Cf. A003961, A064413, A064423, A064664, A064955, A064957.

Formula

a(n) = A064664(A003961(A064413(n))).

Other identities. For all n >= 1:

A305294(a(n)) = n.

a(A064955(n)) = A064955(1+n).

For all n >= 2, a(A064423(n)) = 1+A064955(1+n).