Geodesic
Polygonal, Sierpiński, and Riesel numbers
Journal of integer sequences, Tome 18 (2015) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we show that there are infinitely many Sierpiński numbers in the sequence of triangular numbers, hexagonal numbers, and pentagonal numbers. We also show that there are infinitely many Riesel numbers in the same sequences. Furthermore, we show that there are infinitely many $n$-gonal numbers that are simultaneously Sierpiński and Riesel.
Classification : 11A07, 11Y55
Keywords: sierpiński number, riesel number, triangular number, covering congruence 
@article{JIS_2015__18_8_a1,
     author = {Baczkowski, Daniel and Eitner, Justin and Finch, Carrie E. and Suminski, Braedon and Kozek, Mark},
     title = {Polygonal, {Sierpi\'nski,} and {Riesel} numbers},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {18},
     number = {8},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a1/}
}
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Baczkowski, Daniel; Eitner, Justin; Finch, Carrie E.; Suminski, Braedon; Kozek, Mark. Polygonal, Sierpiński, and Riesel numbers. Journal of integer sequences, Tome 18 (2015) no. 8. http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a1/