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A117059 Palindromes for which the multiplicative digital root is a prime. 0

%I #5 Jul 13 2013 11:04:58

%S 2,3,5,7,121,131,151,171,232,474,535,575,666,929,999,3993,9339,11211,

%T 11311,11511,11711,12321,14741,15351,15751,16661,19291,19991,21312,

%U 22722,23632,28782,29392,32623,33233,33933,35753,36363,38383,39193

%N Palindromes for which the multiplicative digital root is a prime.

%e 575 is in the sequence because (1) it is a palindrome and (2)the multiplicative digital root is 5, which is a prime.

%t d[n_] := IntegerDigits[n]; Select[Range[39200], Reverse[y = d[#1]] == y && PrimeQ[NestWhile[Times @@ d[#] &, #1, # > 9 &]] &] (* _Jayanta Basu_, Jul 13 2013 *)

%Y Cf. A002113.

%K base,nonn

%O 1,1

%A Luc Stevens (lms022(AT)yahoo.com), Apr 16 2006

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Last modified July 17 19:13 EDT 2024. Contains 374377 sequences. (Running on oeis4.)