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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John and his wife were living in a rural place. On a particular day, John's wife fell ill and he called the local doctor. When the doctor picked up, he said, "Doctor, my wife is ill. She might have appendicitis."

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When diagnosed, John's wife was found to have appendicitis. How can this be possible?

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1 + 9 + 8 = ?
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Can you find the least possible number such that

If the number is divided by 3, it gives the remainder of 1;
If the number is divided by 4, it gives the remainder of 2;
If the number is divided by 5, it gives the remainder of 3;
If the number is divided by 6, it gives the remainder of 4.

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In Canada, a mathematical puzzle must be solved in order to win the lottery to classify it as a “game of skill” not gambling.