It follows that the number of ways of expressing a number as the sum of consecutive positive integers is (q + 1)(r + 1) - 1. Examples. 45 as the product of ...
Sum of consecutive numbers · Sum of unit fractions · Surds · Algebra prompts ... Explore the cubes of non-consecutive numbers;. Make and prove generalisations ...
On perfect powers that are sums of two Fibonacci numbers, with F. Luca ... Perfect powers that are sums of consecutive cubes, with M. A. Bennett and S ...
Sum of consecutive numbers · Sum of unit fractions · Surds · Algebra prompts ... Cube numbers inquiry. The prompt. Mathematical inquiry processes: Verify ...
Journal of Number Theory 189, 90-96, 2018. 42, 2018. Perfect powers that are sums of consecutive cubes. MA Bennett, V Patel, S Siksek. Mathematika 63 (1), 230 ...
On perfect powers that are sums of two Fibonacci numbers. F Luca, V Patel ... Perfect powers that are sums of consecutive cubes. MA Bennett, V Patel, S ...
We show wordlessly that every even perfect number greater than six is a sum of consecutive odd cubes. ROGER NELSEN (MR Author ID: 237909) is professor emeritus ...
Descent of a Sum of Consecutive Cubes ... Twice!!, Junior Number Theory Seminar - University of Oxford, 09/05/2016. Graphing Congruences of Newforms (Poster) ...
Rout, Perfect powers in Alternating sums of consecutive cubes, Glasnik ... Das and JC Saunders, Products of Tribonacci Numbers that are the Products of Factorials ...
They did achieve this by the end of the lesson and were working on proving the difference of consecutive cube numbers. I introduced a related prompt (below) to ...
Cube numbers · Difference of two cubes · Difference of two squares ... The sum of the first three consecutive even integers (two, four, and six) is ...
Cube numbers · Difference of two ... A further step would be to prove algebraically that the sum of two consecutive triangular numbers is a square number.
Sum of consecutive numbers · Sum of unit fractions · Surds · Algebra prompts ... What happens if we cube the counting numbers? Use the same base and change ...