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?




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We have arranged four hats in the below picture to assist you.

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Gamers

In 2011, people playing Foldit, an online puzzle game about protein folding, resolved the structure of an enzyme that causes an Aids-like disease in monkeys. Researchers had been working on the problem for 13 years. The gamers solved it in three weeks.