A062743 Smallest prime prime(m) such that floor(prime(m)/m) = n.

3, 2, 37, 127, 347, 1087, 3109, 8419, 24317, 64553, 175211, 480881, 1304707, 3523901, 9558533, 25874843, 70115473, 189961529, 514272533, 1394193607, 3779851091, 10246935679, 27788566133, 75370121191, 204475052401

Offset

1,1

Comments

a(n+1)/a(n) -> e as n -> infinity, as do the m's.

Links

Giovanni Resta, Table of n, a(n) for n = 1..50 (first 29 terms from Robert G. Wilson v)

Formula

A062742(n) = pi(a(n)).

Mathematica

Do[ k = 1; While[ Floor[ Prime[m]/ m] != n, m++ ]; Print[Prime[k] ], {n, 1, 27} ]

Crossrefs

Essentially the same as A038623.

Cf. A038607, A038625.

Sequence in context: A303729 A296544 A136635 * A370825 A009084 A096057

Adjacent sequences: A062740 A062741 A062742 * A062744 A062745 A062746

Keyword

nonn

Author

Labos Elemer, Jul 12 2001

Extensions

More terms from Robert G. Wilson v, Jul 13 2001

a(27) from Farideh Firoozbakht, Sep 12 2005

Corrected by T. D. Noe, Nov 14 2006

a(30)-a(50) obtained from the values of A038625 computed by Jan Büthe. - Giovanni Resta, Sep 01 2018

Status

approved