login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Primes without "1" as a digit that remain prime when any single digit is replaced with "1".
3

%I #10 Apr 04 2013 11:26:11

%S 37,43,47,67,73,79,337,409,439,499,607,709,3637,3709,4877,6997,7487,

%T 9433,76963,334777

%N Primes without "1" as a digit that remain prime when any single digit is replaced with "1".

%C No more terms < 10^13.

%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_591.htm">Puzzle 591</a>

%t lst = {}; n = 1; Do[If[PrimeQ[p], i = IntegerDigits[p]; If[FreeQ[i, n], t = 0; s = IntegerLength[p]; Do[If[PrimeQ@FromDigits@Insert[Drop[i, {d}], n, d], t++, Break[]], {d, s}]; If[t == s, AppendTo[lst, p]]]], {p, 334777}]; lst

%Y Cf. A224320-A224322. Subsequence of A038603.

%K base,more,nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Apr 03 2013