A154767 Primes with even largest digit.

2, 41, 43, 61, 83, 163, 181, 211, 241, 263, 281, 283, 383, 401, 421, 431, 433, 443, 461, 463, 487, 563, 587, 601, 613, 631, 641, 643, 653, 661, 683, 787, 811, 821, 823, 827, 853, 857, 863, 877, 881, 883, 887, 1021, 1061, 1063, 1087, 1163, 1181, 1187, 1201

Offset

1,1

Comments

Relative density 0 in the primes. It is natural to conjecture that there are infinitely many, but can this be proved? - Charles R Greathouse IV, Nov 12 2010

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..2500

Maple

A054055 := proc(n) max( op(convert(n, base, 10))) ; end: isA154767 := proc(n) RETURN( isprime(n) and ( A054055(n) mod 2 ) = 0 ) ; end; for n from 1 to 400 do p := ithprime(n) ; if isA154767(p) then printf("%d, ", p) ; fi; od: # R. J. Mathar, Jan 18 2009

Mathematica

fQ[p_] := EvenQ[ Sort[ IntegerDigits[ p]][[-1]]]; Select[ Prime@ Range@ 200, fQ] (* Robert G. Wilson v, May 15 2014 *)
Select[Prime[Range[200]], EvenQ[Max[IntegerDigits[#]]]&] (* Harvey P. Dale, Sep 21 2014 *)

Crossrefs

Sequence in context: A033841 A107194 A235147 * A042923 A222717 A059698

Adjacent sequences: A154764 A154765 A154766 * A154768 A154769 A154770

Keyword

nonn,base

Author

Juri-Stepan Gerasimov, Jan 15 2009

Extensions

837 replaced by 827. R. J. Mathar, Jan 18 2009

Status

approved