Tags » Arithmetic Progression

Consecutive Remainders

What is the smallest positive integer that when divided by , and leaves the remainders , and , respectively?
Source: NCTM Mathematics Teacher, August 2006… 84 more words

Problem Solving

Miscellaneous Problems - Set 1

1) A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. 790 more words

Vandermonde Submatrices and Arithmetic Progressions

Currently, we are asking whether all submatrices of the order- Vandermonde matrix over a finite extension of are invertible where is prime. The answer is “no” in general: there are examples of fields where the Vandermonde matrix has a singular submatrix. 863 more words

Computer Science

Prime-Generating Polynomials

If you haven’t seen it before, the polynomial seems to look like any other. And yet, as Euler noted, this polynomial has a curious property — evaluating at the integers gives a new prime each time: 862 more words

Number Theory