A073049 Least m > 1 such that m^n has m divisors, or 0 if no such m exists.

2, 3, 28, 5, 0, 7, 225, 153, 640, 11, 6348, 13, 19474560, 0, 976, 17, 1225, 19, 1521, 81, 0, 23, 343000, 49, 2601, 2133, 3025, 29, 1495296000, 31, 20063232, 4225, 15262600, 4761, 19236456, 37, 25462407801600, 5929, 34633600, 41, 0, 43, 7569, 356445, 8281

Offset: 1

Author

Lekraj Beedassy, Aug 31 2002

Keywords

• nice
• nonn

Comments

Since a prime power p^k has exactly k+1 divisors, choosing k=p-1, where p is a prime, thus implies a(p-1)=p for any prime p.

Links

• Jon E. Schoenfield, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A000005, A323730.

Extensions

Definition and terms for n = 1, 13, 23, 29, 31, 33, 35, 37, 39, and 44 corrected by Jon E. Schoenfield, Apr 17 2010