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6 November

Annoying Mclaurin Series

Suppose that we’re given the function , find the ordinary generating function associated with it in the form of . Furthermore, find/compute .

15 August
Posted in Article, Math Problems

Power Reduction in Congruences

Suppose you have integers a,b that are relatively prime to m such that then 14 August
Posted in Article, Math Problems

Even Pascals

Let , where k is an integer. Prove that for any positive integer n the number is divisible by .

13 August
Posted in Article, Math Problems

Polynomial Divisors

Let . Show that for any positive integers there exists unique numbers such that the polynomial is divisible by p(x)

12 August
Posted in Article, Math Problems

Odd Coprimes

Let a be an odd integer. Prove that and are relatively prime for all distinct positive integers n and m.

12 August
Posted in Article, Math Problems

More Prime Congruences

Find all primes p and q such that 11 August
Posted in Article, Math Problems

Prime Congruence Class

Show that there are infinitely many primes of the form 4k - 1.

10 August
Posted in Article, Math Problems

Just the Evens

Find the sum of even positive divisors of 10 August
Posted in Article, Math Problems

Sum of Divisors

Suppose we define the function as the sum of the divisors of n Express in terms of ‘s prime factorization

9 August
Posted in Article, Math Problems

That Other Little Gauss Story

Determine the product of distinct positive integer divisors of .