A135015 Numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th prime as a substring of n. Also n may not contain any zero digits.

11235, 11253, 11325, 11352, 11523, 11532, 21135, 21153, 23115, 23511, 25113, 25311, 31125, 31152, 32115, 32511, 35112, 35211, 51123, 51132, 52113, 52311, 53112, 53211, 111235, 111253, 111325, 111352, 111523, 111532, 112135, 112153, 112235, 112253

Offset: 1

Author

David Applegate and N. J. A. Sloane, Feb 10 2008

Keywords

• nonn
• base
• look

Links

• Robert Israel, Table of n, a(n) for n = 1..10000 (first 300 terms from David Applegate)

Crossrefs

Cf. A134692, A134698, A134962.

Programs

Maple

filter:= proc (n) local L, LP;
  L := convert(n, base, 10);
  if has(L, 0) then return false end if;
if has(L, 1) and not has(L, 2) then return false end if;
if has(L, 2) and not has(L, 3) then return false end if;
if has(L, 3) and not has(L, 5) then return false end if;
if has(L, 4) and not has(L, 7) then return false end if;
LP := [seq([L[i], L[i+1]], i = 1 .. nops(L)-1)];
if has(L, 5) and not member([1, 1], LP) then return false end if;
if has(L, 6) and not member([3, 1], LP) then return false end if;
if has(L, 7) and not member([7, 1], LP) then return false end if;
if has(L, 8) and not member([9, 1], LP) then return false end if;
if has(L, 9) and not member([3, 2], LP) then return false end if;
true
end proc:
select(filter, [$1..1.5*10^5]);