A145343 a(n) = largest prime <= the smallest positive integer with exactly n divisors.

2, 3, 5, 13, 11, 61, 23, 31, 47, 1021, 59, 4093, 191, 139, 113, 65521, 179, 262139, 239, 571, 3067, 4194301, 359, 1291, 12281, 887, 953, 268435399, 719, 1073741789, 839, 9209, 196597, 5179, 1259, 68719476731, 786431, 36857, 1669, 1099511627689, 2879

Offset

2,1

Comments

a(n) = largest prime <= A005179(n).

Links

Table of n, a(n) for n=2..42.

Formula

a(n) = A007917(A005179(n)). [From Ray Chandler, Oct 12 2008]

Crossrefs

A005179, A145344

Sequence in context: A111239 A264745 A251414 * A058592 A268509 A260594

Adjacent sequences: A145340 A145341 A145342 * A145344 A145345 A145346

Keyword

nonn

Author

Leroy Quet, Oct 08 2008

Extensions

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

Status

approved