An Oblong number is a number which is the product of two consecutive integers, that is, a number of the form

There exist infinitely many triplets of positive integers , for which the numbers… 84 more words

An Oblong number is a number which is the product of two consecutive integers, that is, a number of the form

There exist infinitely many triplets of positive integers , for which the numbers… 84 more words

are chosen so that they form an arithmetic progression and

, , form a Chain of squares

Note the squares in columns and

Here are the first few solutions: 25 more words

with and in arithmetic sequence.

There are solutions of the form:

………. (1, 2, 3), (7, 8, 9)

………. (2, 4, 6), (14, 16, 18) 235 more words

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**1487**, **4817**, and **8147** are prime numbers.

and, 4817 and 8147 are digit permutations of 1487

and they are in arithmetic progression:

4817 – 1487 = 8147 – 4817 = 3330… 74 more words

We know that if you multiply any four consecutive positive integers and add 1 to the product, youâ€™ll get a square number.

The product of four consecutive terms of an arithmetic progression added to the fourth power of the common difference is always a perfect square… 26 more words