SOLUTION: The sum of all the prime numbers between 1 and 100 that are simultaneously 1 greater than a multiple of 4 and 1 less than a multiple of 5

Question 1106920: The sum of all the prime numbers between 1 and 100 that are simultaneously 1 greater than a multiple of 4 and 1 less than a multiple of 5
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The sum of all the prime numbers between 1 and 100 that are simultaneously 1 greater than a multiple of 4 and 1 less than a multiple of 5
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There's no algebraic solution.
Just list them and do it.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

A number that is 1 less than a multiple of 5 has final digit 4 or 9.

No prime numbers have final digit 4, so the numbers we are looking for have final digit 9.

Prime numbers less than 100 with final digit 9 are 19, 29, 59, 79, and 89.

Of those, the ones that are 1 more than a multiple of 4 are 29 and 89.

The sum of those is 29+89 = 118.
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