A391601 Smallest prime > n^10.

2, 2, 1031, 59051, 1048583, 9765629, 60466181, 282475267, 1073741827, 3486784409, 10000000019, 25937424629, 61917364273, 137858491853, 289254655033, 576650390627, 1099511627791, 2015993900533, 3570467226671, 6131066257889, 10240000000081, 16679880978223, 26559922791443, 41426511213667

Offset

0,1

Links

Table of n, a(n) for n=0..23.

Formula

a(n) = A151800(A008454(n)).

Example

For n=3, the smallest prime > 3^10 = 59049 is a(3) = 59051.

Mathematica

Table[NextPrime[n^10], {n, 1, 10}]

Prog

(PARI) a(n) = nextprime(n^10);

Crossrefs

Cf. A000040, A008454, A003617, A151800.

Cf. A007491, A014220, A053786, A053788.

Sequence in context: A095304 A111819 A287764 * A260753 A079237 A262060

Adjacent sequences: A391598 A391599 A391600 * A391602 A391603 A391604

Keyword

nonn,easy

Author

Bruce Nye, Jan 16 2026

Extensions

More terms from Michel Marcus, Jan 17 2026

Status

approved