A166732 - OEIS

A166732

Numbers k such that the largest prime factor of the k-th composite is equal to the sum of all the other prime factors of the k-th composite, with multiplicity.

1, 4, 15, 19, 33, 50, 60, 90, 129, 224, 227, 244, 288, 354, 400, 428, 429, 485, 528, 598, 677, 694, 730, 798, 810, 864, 977, 1044, 1149, 1181, 1257, 1417, 1419, 1475, 1519, 1565, 1677, 1879, 1891, 2131, 2399, 2545, 2682, 2689, 2872, 2993, 3027, 3034

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..48.

EXAMPLE

The 50th composite is 70 = 2*5*7 and 2 + 5 = 7 so 50 is a term.

CROSSREFS

Cf. A001414, A002808.

Sequence in context: A308983 A032826 A190709 * A022133 A383360 A212921

Adjacent sequences: A166729 A166730 A166731 * A166733 A166734 A166735

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov, Oct 20 2009

EXTENSIONS

Definition clarified, sequence corrected and extended by Charles R Greathouse IV, May 27 2011

STATUS

approved