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A363039
a(n) is the smallest tribonacci number (A000073) with exactly n divisors, or -1 if no such number exists.
0
1, 2, 4, 274, 81, 44
OFFSET
1,2
COMMENTS
a(8) = 24, a(10) = 745527911414639917440582097294401.
a(7), if it exists, is > A000073(200000). - Vaclav Kotesovec, May 17 2023
Has an infinite number of -1's for a(p) where p is prime as A000073 only contains a finite number of perfect powers (see Theorem 1 of Petho link). - Michael S. Branicky, May 17 2023
LINKS
Attila Petho, Fifteen problems in number theory, Acta Univ. Sapientiae Math 2:1 (2010), 72-83.
Eric Weisstein's World of Mathematics, Tribonacci Number.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Ilya Gutkovskiy, May 14 2023
STATUS
approved