# Monthly Archives: August 2013

## Grid 9X9 | 18 prime num3ers

1   7   3   4   2   8   7   2   1                  6   1   1    1   3   1   7   6   9                  6   … Continue reading

## DigitSum() | Square num3ers

2-digit squares:   16,   25,   36,   49,   64,   81 4^2 = 16                     1+6 = 7                   … Continue reading

## DigitSum, Squares of 62, 64, 66

Part 1   66^2  = 4356 66^2   contains consecutive digits   (3,  4,  5,  6)   Can you find a square that contains (1)   consecutive even digits (2)   consecutive odd digits                                                    ——————————————   Part 2 … Continue reading

Posted in Math Beauty, Number Puzzles | Tagged | 1 Comment

## Two Puzzles | Arithmetic progression

Arithmetic progression – definition http://en.wikipedia.org/wiki/Arithmetic_progression   (1) Find three numbers   A, B, C   such that A, B, C   is an arithmetic progression and the sums … A   +   B B   +   C A … Continue reading

## Make 1111 using (+, -, *, /, ^) and digits 1-9 only once

Make 1111 using (+, -, *, /) and exponentiation using only one digit from 1 to 9 each time. For example, (6 + 6^6)/(6 + 6*6)   =   1111 the digit 6 is repeated only six times.   … Continue reading

## Puzzle | Square numbers

Find three numbers   (x, y, z)   such that x   +   (x * y * z), y   +   (x* y * z)     and z   +   (x* y * z) are all … Continue reading

## Puzzles | Squares and Square roots

(1) Find integers   (x, y)   such that x   +   √y   =   7 y   +   √x   =   11   Note that the first few twin prime pairs are: (3, 5), … Continue reading

## Num3er 81619

81619   is the 7982-nd prime number. 2897   is the digit-reversal of   7982 2897   is the 419-th prime.   81619   =   (7)(2^4)(3^6)   –   (2^2   +   5^2)   81619^2   = … Continue reading

## Sums and Products

See older post:   Num3ers 12345678 and 87654321                       12   +   43   +   65   +   78   =   87   +   56   +   34   +   21   … Continue reading

## Num3ers 12345678 and 87654321

12345678   =   2 * 3 * 3 * 47 * 14593 87654321   =   3 * 3 * 1997 * 4877   (12345678 * 9)   +   9   =   111,111,111 (12345678 * 8) … Continue reading

Posted in Math Beauty, Number Puzzles | Tagged , , | 1 Comment