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Prime numbers such that sum of digits in base 8 equals product of digits in base 8.
1

%I #8 Nov 18 2015 11:38:36

%S 2,3,5,7,83,139,673,1289,2129,5197,5449,6737,6793,8849,12889,13001,

%T 21577,38281,58441,70537,90697,300809,311897,398921,2400851,2400907,

%U 2429579,2430601,2462353,2658899,2691659,2724937,2925137,2925193,2925641,2957897,4494929

%N Prime numbers such that sum of digits in base 8 equals product of digits in base 8.

%H Chai Wah Wu, <a href="/A264576/b264576.txt">Table of n, a(n) for n = 1..10000</a>

%e 300809_10 = 1113411_8 is prime and the sum of digits of 1113411 is equal to the product of digits.

%t Select[Prime@ Range[10^6], Total@ # == Times @@ # &@ IntegerDigits[#, 8] &] (* _Michael De Vlieger_, Nov 18 2015 *)

%Y Cf. A066306.

%K nonn,base

%O 1,1

%A _Chai Wah Wu_, Nov 17 2015