A089773 Smallest prime of the form 1 followed by a perfect power.

11, 19, 127, 149, 181, 1289, 1361, 11369, 11681, 12197, 12401, 12601, 12809, 13249, 13721, 14489, 15329, 16561, 16889, 17569, 17921, 19801, 110609, 114161, 114641, 119321, 119881, 121609, 122201, 125921, 132761, 135721, 135937, 136481, 140401

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Example

a(4) = 181: 1 followed by 3^4.

Mathematica

Select[ Map[ FromDigits, Join[{1}, IntegerDigits[ # ]] & /@ Union[ Join[{1}, Flatten[ Table[n^i, {n, 2, Sqrt[10^5]}, {i, 2, Log[n, 10^5]}]]]]], PrimeQ[ # ] &]

Crossrefs

Cf. A001597.

Sequence in context: A199329 A121132 A238332 * A048389 A163151 A020457

Adjacent sequences: A089770 A089771 A089772 * A089774 A089775 A089776

Keyword

base,nonn

Author

Amarnath Murthy, Nov 23 2003

Extensions

Edited, corrected and extended by Robert G. Wilson v, Nov 26 2003

Status

approved