A359965 - OEIS

%I #10 Jan 21 2023 03:44:26

%S 1,3,49,6,14641,20,594823321,30,8281,304,41426511213649,60,

%T 491258904256726154641,832,717409,168,

%U 160470643909878751793805444097921,612,114445997944945591651333831028437092270721,432,87616,44032,6111571184724799803076702357055363809,420,13521270961

%N a(n) is the least arithmetic number (A003601) having exactly n divisors.

%C a(n) is the least number k such that A000005(k) = n and n | A000203(k).

%C a(n) exists for all n: for example, if p is a prime such that p == 1 (mod n), then p^(n-1) has n divisors and n | A000203(p^(n-1)).

%Y Subsequence of A003601.

%Y Cf. A000005, A000203, A359963.

%Y Similar sequences: A005179, A073904.

%K nonn

%O 1,2

%A _Amiram Eldar_, Jan 20 2023