A037052 a(n)-th prime is the smallest prime containing exactly n 0's.

1, 26, 169, 1230, 9593, 78499, 1270608, 5761456, 50847535, 1300005927, 4118054814, 73301896140, 1320811971703, 29844570422670, 169969662554552, 547863431950009, 2623557157654234, 24739954287740861, 1347790196060095448, 10720710117789005898, 161902001837504830334

Offset: 0

Author

Patrick De Geest, Jan 04 1999

Keywords

• nonn
• base
• hard

Links

• Andrew R. Booker, The Nth Prime Page.
• Kim Walisch, Fast C++ prime counting function implementation (primecount).

Crossrefs

Cf. A000720, A034388, A037053.

Programs

Mathematica

(* see A037053 for f *) PrimePi[ Table[ f[n], {n, 1, 12}]]

Formula

a(n) = A000720(A037053(n)). - Daniel Suteu, Aug 08 2019

Extensions

Edited and extended by Robert G. Wilson v, Jul 04 2003

a(0) = 1 inserted and a(13)-a(17) added by Daniel Suteu, Aug 08 2019

a(18)-a(20) calculated using Kim Walisch's primecount and added by Amiram Eldar, Sep 03 2024