A344023 - OEIS

A344023

Numbers of the form p_1^1 + p_2^2 + ... + p_k^k where p_1 < p_2 < ... < p_k are distinct primes.

0, 2, 3, 5, 7, 11, 13, 17, 19, 23, 27, 28, 29, 31, 37, 41, 43, 47, 51, 52, 53, 54, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 123, 124, 126, 127, 128, 131, 136, 137, 139, 149, 151, 157, 163, 167, 171, 172, 173, 174, 176, 179, 180, 181, 191, 193, 197, 199

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OFFSET

1,2

COMMENTS

Also, ordered distinct values taken by terms of A343300.

Primes form the subsequence corresponding to k = 1.

LINKS

David A. Corneth, Table of n, a(n) for n = 1..10000

EXAMPLE

0 is a term because it is the empty sum.

11 is a term because 11 = 11^1 is prime and also 11 = 2^1 + 3^2.

52 is a term because 3^1 + 7^2 = 52.