We derive Binet’s equation for the n^{th} Fibonacci number as

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13 August

Posted in
Article, Math Problems

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We derive Binet’s equation for the n^{th} Fibonacci number as

13 August

Posted in
Article, Math Problems

We derive a general technique for solving full rank linear recursive sequences. Formally, a k^{th} linear recursive sequence is defined as

12 August

Posted in
Article, Math Problems

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

11 August

Posted in
Article, Math Problems

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

.

10 August

Posted in
Article, Math Problems

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

Determine the product of distinct positive integer divisors of .

9 August

Posted in
Article, Math Problems

Determine the number of **ordered pairs** of positive integers such that their least common multiple

9 August

Posted in
Article, Math Problems

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