UNLUCKY NUMBER IN CRICKET WITH SPECIAL PROPERTIES

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The number 111

111 is three times the prime number 37, and it the sum of the numbers from 16 to 21, see below:

111 = 3 * 37
       = 16 + 17 + 18 + 19 + 20 + 21

In cricket, a score of 111 is called ‘The Nelson’ and is considered unlucky. A ‘Double Nelson’ is 222. 

Numbers like 111 which are just written with ones are called repunits. 

See what happens when you square repunits.
The pattern is below which goes on forever.

12 = 1
112 = 121
1112 = 12321
11112 = 1234321
111112 = 123454321
1111112 = 12345654321
11111112 = 1234567654321
111111112 = 123456787654321

1111111112 = 12345678987654321

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