Article Title
Document Type
Article
Publication Date
1999
Keywords
Number theory; Congruences and residues
Abstract
Let n and k be arbitrary positive integers. We will tend to be concerned with small k and with n which are several times k!. I stated two conditions on (n, k) in a previous paper; in this paper I restate them and further explore them. In particular, it is proven that if n is the least number satisfying Condition 1 for a certain k, then the least number for k + l must be at least 2n + l. Condition 1 and Condition 2 are rephrased graph-theoretically. A heuristic explanation for why the quadratic. residues tend to satisfy Condition 2b is given. A conjecture characterizes n and k which satisfy Condition 2b when IS a prime of the form 4m + l and Q are the quadratic residues. The case of the quadratic residues or non-residues with zero appended to them is discussed.
First Page
16
Last Page
17
Recommended Citation
Brandt, B.
(1999).
Supplement to "On Translations of Quadratic Residues".
Journal of the Minnesota Academy of Science, Vol. 64 No.1, 16-17.
Retrieved from https://digitalcommons.morris.umn.edu/jmas/vol64/iss1/5
Primo Type
Article