A109514 Let k be an integer consisting of m digits. Then k is a Pithy number if the k-th m-tuple in the decimal digits of Pi is k.

5, 9696, 19781, 199898, 687784863, 4518673035, 7526556436

Offset: 1

Author

Colin Rose, Jul 01 2005

Keywords

• base
• more
• nonn

Comments

A near-miss '02805451' occurs at position 2805451. - Vaclav Kotesovec, Feb 19 2020

Examples

			5 is a term because the 5th single digit in Pi is 5.
9696 is a term because the 9696th quadruplet in Pi is 9696.
		

Links

• David G. Andersen, The Pi-Search Page.

Crossrefs

Cf. A109513, A057679, A057680.

Programs

Mathematica

PithyNumbersWith3[m_] := Module[{cc = m(10^m)+m, sol, aa}, sol = Partition[RealDigits[Pi, 10, cc] // First, m]; Do[aa = FromDigits[sol[[i]]]; If[aa==i, Print[{i, aa}]], {i, Length[sol]}];]
(* Example: PithyNumbersWith3[5] produces all 5-digit Pithy numbers *)

Extensions

a(5)-a(7) from J. Volkmar Schmidt, Dec 17 2023