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Q: How many two digit prime numbers end in the digit 3?

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83

11,31,41

900 numbers

31 and 41.

There are 9 of them.

0 Look at the product of the first 3 prime numbers: 2 x 3 x 5 = 30. Any number multiplied by 30 will have a 0 in the units digit. So, no matter how many prime numbers you are multiplying, if once you have a number ending in 0, all of the rest will end in 0.

Lots of prime numbers have zeros in them. 101, 103, 107 and 109 are all prime numbers. Prime numbers can't end in zero. Numbers that end in zero are multiples of ten and have too many factors to be prime numbers.

11, 31, 41

There are 168 = 4,294,967,296 such numbers.

1, 11, 21, 31, 41. 1 is not a prime number.

Numbers never end. You can always continue to add another digit to a number and make it larger. Because this is the case, you can continue to look forward forever for prime numbers. The difference/distance between the numbers may grow, but prime numbers will continue to appear.

You end it when all the numbers are prime.

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