A067928 Numbers k such that the digits of the k-th prime begin with k.

6455, 6456, 6457, 6459, 6460, 6466

Offset: 1

Author

Joseph L. Pe, Feb 22 2002

Keywords

• base
• more
• nonn

Comments

The next term is greater than 4*10^41. - Robert Gerbicz, Sep 05 2002

Examples

			Prime(6466) is 64661, which begins with 6466, so 6466 is a term of the sequence.
		

Programs

Mathematica

(*returns true if a begins with b, false o.w.*) f[a_, b_] := Module[{c, d, e, g, h, i, r}, r = False; c = ToString[a]; d = ToString[b]; g = StringPosition[c, d]; h = Length[g]; If[h > 0, i = g[[h]]; If[i[[1]] == 1, r = True]]; r]; Do[If[f[Prime[n], n], Print[n]], {n, 1, 10^5} ]
Select[Range[7000],Take[IntegerDigits[Prime[#]],IntegerLength[#]] == IntegerDigits[ #]&] (* Harvey P. Dale, Mar 05 2016 *)