

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
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OFFSET

1,1


COMMENTS

Related to the "Impossible Problem" of Martin Gardner.


REFERENCES

M. Criton, "Le Probleme Impossible", Jeux Mathematiques, Tangente Hors Serie 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



