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Math Problems

13 August
Posted in Article, Math Problems

Analytical Fibonacci

We derive Binet’s equation for the nth Fibonacci number as 13 August
Posted in Article, Math Problems

Linear Recursive Sequence

We derive a general technique for solving full rank linear recursive sequences. Formally, a kth linear recursive sequence is defined as 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 .

9 August
Posted in Article, Math Problems

Congruence by L.C.M

Determine the number of ordered pairs of positive integers such that their least common multiple 9 August
Posted in Article, Math Problems

Randomly Chosen Divisors

Compute the probability that a randomly chosen positive divisor of is an integer multiple of 