

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 Problème Impossible", Jeux Mathématiques, Tangente Hors Série No. 20 Pole Paris 2004.


LINKS



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



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



