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No. A Prime number is one that can't be divided by another (11, 13, 17 etc) so the product you get by multiplying by 2 prime numbers, by definition it won't be a prime. However, if 2,3 and 5 are defined as cardinal primes then 7,11,13,17,19,23,29 and 31 as ordinate primes with 7 as the first "mathematical" prime number then if you multiply any combination of prime numbers the composite will coincide with one of the 8 basic positions the ordinate primes establish. IE 7 X 7 = 49; 49 will hold the same position as 19 in the ordinate set. Hint 2 X 3 X 5 =30; 19 + 30 = 49. Also, consider the "number" 0 as in 0,1,2,3 can not exist in prime numbers except as a place holder IE 10 (base 10) 1 ten 0 units. And, prime numbers are universally set. That is 7 (base 10) is as prime as 1-0 (base 7)

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Q: If you multiply two prime numbers will the anwser be a prime number?
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