A145344 a(n) = smallest prime >= the smallest positive integer with exactly n divisors.

2, 2, 5, 7, 17, 13, 67, 29, 37, 53, 1031, 61, 4099, 193, 149, 127, 65537, 181, 262147, 241, 577, 3079, 4194319, 367, 1297, 12289, 907, 967, 268435459, 727, 1073741827, 853, 9221, 196613, 5189, 1277, 68719476767, 786433, 36871, 1693, 1099511627791

Offset

1,1

Comments

a(n) = smallest prime >= A005179(n).

Links

Table of n, a(n) for n=1..41.

Formula

a(n) = A007918(A005179(n)). [From Ray Chandler, Oct 12 2008]

Crossrefs

A005179, A145343

Sequence in context: A035085 A208238 A127413 * A034438 A079280 A038750

Adjacent sequences: A145341 A145342 A145343 * A145345 A145346 A145347

Keyword

nonn

Author

Leroy Quet, Oct 08 2008

Extensions

More terms from R. J. Mathar and Ray Chandler, Oct 10 2008

Status

approved