login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A110464 Oddly colossally abundant numbers. 4
3, 15, 45, 315, 3465, 45045, 135135, 675675, 11486475, 218243025, 5019589575, 145568097675, 4512611027925, 31588277195475, 94764831586425, 3506298768697725, 143758249516606725, 6181604729214089175 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)