A086473 Numbers in A058080 having only one factor pair (both distinct from 1) that add up to a sum belonging to A014092.

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

Offset: 1

Author

Lekraj Beedassy, Sep 09 2003

Keywords

• nonn

Comments

Related to the "Impossible Problem" of Martin Gardner.

Examples

			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.
		

References

• M. Criton, "Le Problème Impossible", Jeux Mathématiques, Tangente Hors Série No. 20 Pole Paris 2004.

Links

• N. Hobson, Nick's Mathematical Miscellany, Two Logicians
• Dr. Rob, The Math Forum, Two Mathematicians Problem

Crossrefs

Cf. A058080, A014092.

Extensions

Corrected and extended by Ray Chandler, Sep 21 2003