Carmichael numbers of the form \((6m+1)(12m+1)(18m+1)\)
Journal of integer sequences, Tome 5 (2002) no. 2
Numbers of the form $(6m+1)(12m+1)(18m+1)$ where all three factors are simultaneously prime are the best known examples of Carmichael numbers. In this paper we tabulate the counts of such numbers up to $10^n$ for each $n\le 42$. We also derive a function for estimating these counts that is remarkably accurate.
@article{JIS_2002__5_2_a5,
author = {Dubner, Harvey},
title = {Carmichael numbers of the form \((6m+1)(12m+1)(18m+1)\)},
journal = {Journal of integer sequences},
year = {2002},
volume = {5},
number = {2},
zbl = {1020.11005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2002__5_2_a5/}
}
Dubner, Harvey. Carmichael numbers of the form \((6m+1)(12m+1)(18m+1)\). Journal of integer sequences, Tome 5 (2002) no. 2. http://geodesic.mathdoc.fr/item/JIS_2002__5_2_a5/