# Tag Archives: 11

## Cubes that end with 1,11,111,1111,11111,…

Pattern: 7368288471      368288471       68288471          8288471             288471               88471                  8471                     471                        71                           1   To obtain single digit 1 at the end of a cube, I write 10*y   +   … Continue reading

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## Repunit | 11,111,1111,11111,…. in other bases

repunit consisting of n 1’s in base n for example, the repunit consisting of two 1s’ in base 2, and repunit of three 1s’ in base 3, and so on. base n                 base-10 11   base-2   = … Continue reading

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## Patterns | 11, 1111, 111111, …

Note the pattern: 11   =   (1 * 9)   +   2 1111   =   (123 * 9)   +   4 111111   =   (12345 * 9)   +   6 11111111   = … Continue reading

## Multiples of 11 containing a 11 in their decimal representation

2-digit multiple of   11 :   11   is the only number 3-digit multiple of   11 :   110   is the only number 4-digit multiple of 11 : (1)   ab11 (2)   a11b (3)   11ab … Continue reading

## Num3ers 11, 111, 1111, …

1 11                                               a prime number 111                       … Continue reading

## Patterns: Num3ers of the form 1001, 110011, …

My focus:   To examine numbers of the form,   1001, 110011, 11100111, 1111001111, … and to replace the middle two digits (00) with the prime numbers 11 and 13 For example: (1)   1001   =   7 * … Continue reading