We want , , to be in arithmetical progression

and the sum to be a square number

Here are the first few solutions:

**(14, 26, 34)** 38 more words

We want , , to be in arithmetical progression

and the sum to be a square number

Here are the first few solutions:

**(14, 26, 34)** 38 more words

In part 1, I started a discussion on the ordered triples of integers whose squares form an arithmetic progression.

In other words,

, or equivalently… 113 more words

Let’s look at ordered triples of integers whose squares form an arithmetic progression.

In other words,

, or equivalently

The solutions are of the form… 66 more words

229, 361, 493, and 625 are in arithmetic progression:

361 – 229 = 493 – 361 = 625 – 493 = 132

and the number of divisors of each is also in arithmetic progression: 84 more words

**A**, **B**, **C**, and **D** form an arithmetic progression.

Let **d** be the common difference.

d = 1 ……..

d = 14 …… … 145 more words

**1487**, **4817**, and **8147** are prime numbers such that

>> Each of 4817 and 8147 is obtained by permuting the digits of 1487, and… 118 more words