Polygonal, Sierpinski, and Riesel numbers

Daniel M. Baczkowski, Justin Eitner, Carrie E. Finch, Braedon Suminski, Mark Kozek · J. Integer Seq. · 2015

In this paper, we show that there are infinitely many Sierpinski numbers in the se- quence of triangular numbers, hexagonal numbers, and pentagonal numbers. We also show that there are infinitely many Riesel numbers in the same sequences. Further- more, we show that there are infinitely many n-gonal numbers that are simultaneously Sierpinski and Riesel.

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