# Monthly Archives: July 2013

## Num3er 7312013 (July 31, 2013)

July 31   can be expressed as   731 The factors of   731   are:     1     17     43     731 The prime factors are:        17 * 43   731   =   3^6   … Continue reading

## Prime Num3ers Patterns – Part 1

1033   is a prime number. 1033   =   8^1   +   8^0   +   8^3   +   8^3   2213   is a prime number. 2213   =   2^3   +   2^3 … Continue reading

Ninth powers:   a(n)   =   n^9   8461^9   =   222226197660256026153988809486637741   Find more examples.                                                    ——————————————   5th powers:   a(n)   =   n^5   6444^5   =   11111627111310388224   Find more … Continue reading

## Prime Num3ers 4357 and 5347

4357   is a prime number. 5347   is a prime number. Notice that 5347 is a digit-rotation of 4357 And, 4357^2   =   18983449   =   1898 || 3449 and,     1898   +   3449 … Continue reading

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## Num3ers ABCD = A * B^n * C * D, n=2,3

735   =   7^2   *   3   *   5 1715   =   1   *   7^3   *   1   *   5   Can you find more examples?   5-digit numbers … Continue reading

## Repeated digits | Num3ers abcd = a…a + b..b + c…c + d…d

4-digit numbers that can be expressed by using their own digits for example,       198 = 11 + 99 + 88   Other examples, 1098   =   11   +   0   +   999   + … Continue reading

## Num3ers 8970, 8971, …, 8979

8970   =   8   +   9^4   +   7^4   +   0 8971    =   8   +   9^4   +   7^4   +   1 8972   =   8 … Continue reading

## Num3ers 4150, 4151, …, 4168, 4169

same digits on both sides of the equalities: 4150   =   4^5   +   1^5   +   5^5   +   0 4151   =   4^5   +   1^5   +   5^5   … Continue reading