A364635 a(n) is the largest prime p such that p/PrimePi(p) < n.

7, 31, 113, 359, 1129, 3089, 8467, 24281, 64717, 175141, 481447, 1304713, 3524621, 9560081, 25874773, 70119967, 189969349, 514278227, 1394199299, 3779856617, 10246936393, 27788573801, 75370126379, 204475055189, 554805820519, 1505578026059, 4086199303001, 11091501632977

Offset

2,1

Comments

Sequence begins at a(2) because there exists no prime p such that p/PrimePi(p) < 1.

Links

Desmond Prendergast, Table of n, a(n) for n = 2..45

Formula

a(n) = prime(A102281(n)). - Michel Marcus, Sep 10 2023

Example

a(4) = 113 because 113/PrimePi(113) = 113/30 = 3.766... but p/PrimePi(p) >= 4 for all primes > 113.

Crossrefs

Cf. A000720, A038625, A062743, A102281.

Sequence in context: A205492 A109756 A055580 * A097786 A350498 A197649

Adjacent sequences: A364632 A364633 A364634 * A364636 A364637 A364638

Keyword

nonn,changed

Author

Jon E. Schoenfield, Sep 09 2023

Extensions

a(19) corrected by Desmond Prendergast, May 26 2026

Status

approved