OFFSET
1,1
COMMENTS
Infinitely many terms are superabundant (SA) A004394; the smallest is 183783600.
Infinitely many terms are colossally abundant (CA) A004490; the smallest is 367567200.
Infinitely many terms are odd (and hence neither SA nor CA); the smallest is 1058462574572984015114271643676625.
See Section 5 of "On SA, CA, and GA numbers".
For additional terms, in factored form, see "Table of proper GA1 numbers up to 10^60", where SA and CA numbers are starred * and **.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..18408 (from the J.-L. Nicolas's table)
G. Caveney, J.-L. Nicolas, and J. Sondow, Robin's theorem, primes, and a new elementary reformulation of the Riemann Hypothesis, Integers 11 (2011), article A33.
G. Caveney, J.-L. Nicolas and J. Sondow, On SA, CA, and GA numbers, Ramanujan J., 29 (2012), 359-384 and arXiv:1112.6010.
J.-L. Nicolas, Computation of GA1 numbers, 2011.
J.-L. Nicolas, Table of proper GA1 numbers up to 10^60, 2011.
EXAMPLE
183783600 = 2^4 * 3^3 * 5^2 * 7 * 11 * 13 * 17 is the smallest proper GA1 number.
MAPLE
See "Computation of GA1 numbers".
CROSSREFS
KEYWORD
nonn
AUTHOR
Geoffrey Caveney, Jean-Louis Nicolas, and Jonathan Sondow, Dec 03 2011
STATUS
approved