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Q: How many two-digit primes have the sum of the digits equal to 8?
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How many primes are there?

A boatloadThere are in infinite number or primes, and they are still being discovered. The people who discover the prime that has more than 10 million digits will win $100,000. I'm pretty sure they're getting close, something like 9.8 million digits.


How many up numbers of any size have primes only as digits?

An n-digit number has 4^n such numbers.


How many prime numbers from 11 to 100 are there whose digits when interchanged give a prime number?

There are four pair of mirror primes.


How many of the digits in the prime numbers end in 13579?

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What Fibonacci number which is also prime?

The first few Fibonacci primes are 2, 3, 5, 13, 89. Fibonacci primes with thousands of digits have been found but it is not known whether there are infinitely many (Wikipedia, see link).


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How many digits are in 93 million?

Expressed in figures, this is equal to 93,000,000. This is eight digits, including six zeroes.


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How many three digit numbers have the sum of their digits equal to 22?

21.


How many three digit numbers is average of three digits equal to 2?

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How many positive integers ar equal to 12 times the sum of their digits?

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How many 5-digit numbers have digits whose product is equal to 4?

There are 15 of them.