A195943 Zeroless prime powers: Intersection of A000961 and A052382.

1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 64, 67, 71, 73, 79, 81, 83, 89, 97, 113, 121, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 243, 251, 256, 257, 263, 269, 271, 277, 281, 283, 289, 293, 311

Offset

1,2

Comments

In contrast to A195942, we also allow for primes (p^n with n=1) in this sequence.

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

C. Rivera, Puzzle 607. A zeroless Prime power, on primepuzzles.net, Sept. 24, 2011.

Formula

A195943 = A000961 intersect A052382 = A000961 \ A011540.

A010055(a(n)) * A168046(a(n)) = 1. - Reinhard Zumkeller, Sep 27 2011

Prog

(PARI) for( n=1, 9999, is_A000961(n) && is_A052382(n) && print1(n", "))
(Haskell)
a195943 n = a195943_list !! (n-1)
a195943_list = filter ((== 1) . a010055) a052382_list
-- Reinhard Zumkeller, Sep 27 2011

Crossrefs

Cf. A195942, A195944, A195945, A195946, A195908, A195948, A007377, A008839, A030700, A030701, A030702, A030703, A030704, A030705, A030706.

Cf. A038618 (subsequence).

Sequence in context: A246655 A000961 A128603 * A096165 A164336 A348263

Adjacent sequences: A195940 A195941 A195942 * A195944 A195945 A195946

Keyword

nonn,base

Author

M. F. Hasler, Sep 25 2011

Status

approved