The only two-digit prime with each digit the same

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13-02-2015
Mathematics

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The only two-digit prime with each digit the same

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apologiabiology apologiabiology · Answer 1 · 2015-02-13T06:34:57+01:00

apologiabiology apologiabiology

13-02-2015

there is only one because any 2 digit number with the same digits, would be a multiple of 11
because the 2 digit numbers that have the same digits are all multiplues of 11
the numbers are 11,22,33,44,55,66,77,88,99
and 11 is prime so the answer is 11

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