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12 Apr 2020, 15:31
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mehro023
I chose 3 because it's the smallest odd prime.
By using the smallest odd prime, I was able to find all possible sums.
Cheers,
Brent
03 Apr 2022, 10:07
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Oh my god. I was stuck on this question for a good 5 minutes until I realized that '1' is NOT considered a prime number since it cannot, by definition of prime number, be divided by TWO numbers, '1 and itself'.
05 May 2026, 03:52
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How many positive integers less than 30 are either a multiple of 2, an odd prime number, or the sum of a positive multiple of 2 and an odd prime?
The positive integers less than 30 that are Multiples of 2 = {2,4,6,8,....28}
The positive integers less than 30 that are odd prime numbers = {3,5,7,11,13,17,19,23,29}
The positive integers less than 30 are either a multiple of 2, an odd prime number, or the sum of a positive multiple of 2 and an odd prime = {2,3,4,5,6,7,8,6+3=9,10,11,12,13,14,8+7=15,16,17,18,19,20,14+7=21,22,23,24,18+7=25,26,20+7=27,28,29} : 28 numbers.
IMO B
The positive integers less than 30 that are Multiples of 2 = {2,4,6,8,....28}
The positive integers less than 30 that are odd prime numbers = {3,5,7,11,13,17,19,23,29}
The positive integers less than 30 are either a multiple of 2, an odd prime number, or the sum of a positive multiple of 2 and an odd prime = {2,3,4,5,6,7,8,6+3=9,10,11,12,13,14,8+7=15,16,17,18,19,20,14+7=21,22,23,24,18+7=25,26,20+7=27,28,29} : 28 numbers.
IMO B
