The Prime Numbers below 75

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

Except 2 and 3, all the prime numbers are in a form of (6k +1) or (6k -1)

Therefore, you can use the formula to write down the prime numbers as:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 61, 67, 71, 73

Now, you can separate numbers as per the requirement that are:

3, 11, 13, 23, 31, 41, 43, 53, 61, 71 and 73

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Similar Riddles

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You investigate by asking three questions to each of the six suspects. Out of those six suspects, four are liars. It is not necessary that they speak everything a lie. But in their answers, there must be at least one lie. One of the six is the murderer.

There are eight rooms in the house in which the murder has been committed: Kitchen, Living Room, Bathroom, Garage, Basement, 3 Bedrooms.

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So was I.
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David:
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Jennifer:
Peter was in the bathroom with Christopher.
And Mandy was in the kitchen.

Christopher:
David was in the kitchen.
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PS: The corpse was found in the Living Room.

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