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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
11, 101, 167, 211, 257, 347, 431, 523, 541, 617, 743, 761, 853, 1423, 1427, 1607, 1753, 1973, 2011, 2213, 2237, 2341, 2417, 2543, 2617, 2671, 2819, 2837, 3137, 3407, 3461, 3517, 3571, 3719, 3847, 4013, 4127, 4211, 4217, 4637, 4673, 4691 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Relates to the palindromic primes.

LINKS

Table of n, a(n) for n=0..41.

EXAMPLE

40127 because 4+0+1+2=7

MATHEMATICA

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++; ]; ]]]

CROSSREFS

Cf. A082435 and A083967.

Sequence in context: A058411 A134462 A156753 * A156617 A168536 A089716

Adjacent sequences:  A118589 A118590 A118591 * A118593 A118594 A118595

KEYWORD

easy,nonn,base

AUTHOR

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

STATUS

approved

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Last modified January 26 08:18 EST 2020. Contains 331278 sequences. (Running on oeis4.)