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A110464
Oddly colossally abundant numbers.
4
3, 15, 45, 315, 3465, 45045, 135135, 675675, 11486475, 218243025, 5019589575, 145568097675, 4512611027925, 31588277195475, 94764831586425, 3506298768697725, 143758249516606725, 6181604729214089175
OFFSET
1,1
COMMENTS
The usual colossally abundant numbers (CANs) are defined in A004490; none of them is odd. Oddly CANs are defined similarly, except only odd primes are allowed in the factorization. It is conjectured that the ratio of consecutive oddly CANs is always a prime number. The sequence of those prime numbers is given in A110465.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..65 (calculated from A110465)
Lawrence C. Washington and Ambrose Yang, Analogues of the Robin-Lagarias criteria for the Riemann hypothesis, International Journal of Number Theory, Vol. 17, No. 4 (2021), pp. 843-870; arXiv preprint, arXiv:2008.04787 [math.NT], 2020.
CROSSREFS
Sequence in context: A100747 A100737 A178669 * A261505 A331505 A088108
KEYWORD
nonn
AUTHOR
T. D. Noe, Jul 21 2005
EXTENSIONS
Name and comment clarified by Jonathan Sondow, Dec 08 2011
STATUS
approved