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 A086473 Numbers in A058080 having only one factor pair (both distinct from 1) that add up to a sum belonging to A014092. 3
 18, 24, 28, 50, 52, 54, 76, 92, 96, 98, 100, 112, 124, 140, 144, 148, 152, 160, 172, 176, 188, 192, 208, 212, 216, 220, 228, 232, 242, 244, 260, 266, 268, 280, 288, 290, 292, 304, 308, 316, 332, 336, 338, 344, 356, 374, 384, 388, 392, 400, 412, 434, 436, 448 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Related to the "Impossible Problem" of Martin Gardner. REFERENCES M. Criton, "Le Problème Impossible", Jeux Mathématiques, Tangente Hors Série No. 20 Pole Paris 2004. LINKS Table of n, a(n) for n=1..54. N. Hobson, Nick's Mathematical Miscellany, Two Logicians Dr. Rob, The Math Forum, Two Mathematicians Problem EXAMPLE A058080(3)=18 is in the sequence because 18=2*9=3*6 and only 2+9=11 belongs to A014092. However, A058080(7)=30 is not in the sequence because 30=2*15=3*10=5*6 with both 2+15 and 5+6 belonging to A014092. CROSSREFS Cf. A058080, A014092. Sequence in context: A002505 A182438 A050772 * A271327 A243539 A076770 Adjacent sequences: A086470 A086471 A086472 * A086474 A086475 A086476 KEYWORD nonn AUTHOR Lekraj Beedassy, Sep 09 2003 EXTENSIONS Corrected and extended by Ray Chandler, Sep 21 2003 STATUS approved

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Last modified July 24 07:12 EDT 2024. Contains 374575 sequences. (Running on oeis4.)