OFFSET
1,1
COMMENTS
There are only 2 primes in this sequence, 5 and 29. See Bennett, Corollary 2.3.
There are actually 281 terms up to 10^5 rather than 280 as mentioned in Bennett, who agrees with this.
LINKS
Jinyuan Wang, Table of n, a(n) for n = 1..671 (terms 1..281 from Michel Marcus)
Michael A. Bennett, Lucas' square pyramid problem revisited, Acta Arithmetica 105 (2002), 341-347.
Michel Marcus and Jinyuan Wang, PARI program.
EXAMPLE
5 is a term since x*(x+1)*(x+2) = 5*y^2 has 1 solution (x,y) = (8,12).
CROSSREFS
KEYWORD
nonn
AUTHOR
Michel Marcus, Jun 23 2020
STATUS
approved