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A118592 Compound prime numbers. A prime is compound if its decimal digits can be divided into two contiguous subsets with equal sum. 0

%I #6 Apr 08 2013 01:44:05

%S 11,101,167,211,257,347,431,523,541,617,743,761,853,1423,1427,1607,

%T 1753,1973,2011,2213,2237,2341,2417,2543,2617,2671,2819,2837,3137,

%U 3407,3461,3517,3571,3719,3847,4013,4127,4211,4217,4637,4673,4691

%N Compound prime numbers. A prime is compound if its decimal digits can be divided into two contiguous subsets with equal sum.

%C Relates to the palindromic primes.

%e 40127 because 4+0+1+2=7

%t First[Last[Reap[i = 1; mx = 10^4; While[i <= mx, pr = Prime[i]; prdig = IntegerDigits[pr]; prlen = Length[prdig]; j = 1; While[j < prlen, prLeft = Take[prdig, {1, j}]; prRight = Take[prdig, {j + 1, prlen}]; If[Total[prLeft] != Total[prRight], j++; Continue[], Sow[pr]; Break[]]; ]; i++; ]; ]]]

%Y Cf. A082435 and A083967.

%K easy,nonn,base

%O 0,1

%A Janos Lobb (janos(AT)lobb.com), May 17 2006

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)