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Prime and Composite Numbers

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Question

Find the number of two digit prime numbers which remain prime even on inverting the position of its digits.

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Solution

These numbers are 13, 31, 17, 71, 37, 73, 79, 97.

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¯ ¯¯¯ ¯ a b

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a

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is an almost prime number because

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digit number is made using all the digits

1, 2, 4, 5, 7, 8

, then the position of number

^{''} 541782^{''}

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digits number's are formed using the digits

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and arranged in ascending order, then the position of the number

^{''} 631307^{''}

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Prime and Composite Numbers

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