# Product and Power Type Amicable Numbers

In the history, there are numbers known by Amicable numbers  (see Madachy, 1966, p. 155). There are many different ways of expressing these numbers. Most famous among them is with operation of addition, such as 220 and 284. In this case the summing the divisors of one we get another number. But there are other … Continue reading Product and Power Type Amicable Numbers

# Magic Rectangles in Construction of Block-Wise Pan Magic Squares

The idea of magic rectangles is used to bring pan magic squares of orders 15, 21, 27 and 33, where 3x3 blocks are with equal sums entries,  and are semi-magic squares of order 3 (in rows and columns). The magic squares of orders 12, 18, 24, 30 and 36 are calculated, with the property that … Continue reading Magic Rectangles in Construction of Block-Wise Pan Magic Squares

# Magic Crosses

The idea of magic rectangles is well known in literature. Using this idea we brought for the first time in history a new concept on magic crosses. The work is divided in two groups. One on orders (odd, odd) and another on orders (even, even). Within the orders (odd, odd), the work is on magic … Continue reading Magic Crosses

# Block-Wise Equal Sums Magic Squares of Orders 6k

In this paper, block-wise magic squares of orders 12, 18, 24, 30 and 36 are constructed. The construction is in a such way the each block is a magic square of order 6 with equal magic sums. Below are examples and link of download the complete work: Link for download the complete work: Block-Wise Equal Sums … Continue reading Block-Wise Equal Sums Magic Squares of Orders 6k

# 10958 Problem – 1.5 Millions Views

YouTube Videos by Numberphile on 10958 now has 1.5 milions views. YouTube links:The 10958 ProblemA 10958 Solution Paper Links: 1) Single Digit Representations 2) Crazy Representations