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On the Summation of a Few Infinite Series

This is a recreational mathematics article that features computation to provide insight into a few different infinite series. One particular series that displays highly abnormal behavior is also investigated, with a few "open questions" about it given.

Words: 1505   Downloads: 0   Category: Math   By: Jason Earls

Primes and Composites of the Form 10^N + 3

An original computational number theory problem concerning composites and primes of a certain form is investigated, with a proof of infinite composites also provided. Other analysis and computations are listed and explained.

Words: 1183   Downloads: 0   Category: Math   By: Jason Earls

Computations on the Reverse-and-Add 196-Problem

The famous 196-Problem is investigated with a few new computations provided. Terms in the trajectory of Lychrel numbers are examined for being "close" to palindromic. Plus plenty of data is listed along with a new conjecture and some original sequences.

Words: 1587   Downloads: 0   Category: Math   By: Jason Earls

On the Distribution of Harshad Numbers

An original computational number theory problem concerning Harshad numbers is investigated, with plenty of data provided. Inspired by the distribution of prime numbers, this problem involves taking "slices" out of the number line and examining them for Harshad numbers.

Words: 1729   Downloads: 0   Category: Math   By: Jason Earls

Infinity Concrete Prime

An original "concrete prime" that spells out "infinity" in its decimal expansion is given, with a computational proof that primes are infinite. Also one-word poems are discussed.

Words: 938   Downloads: 0   Category: Math   By: Jason Earls

Primes Expressible as Sums of Triangular Numbers and Squares

An original computational number theory problem is investigated, with plenty of data provided. The problem concerns prime numbers, square numbers, and triangular numbers, with definitions listed for each.

Words: 749   Downloads: 0   Category: Math   By: Jason Earls

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