can the product of two prime numbers be prime ?if yes give an example
Answers
No. The multiplication of two prime numbers becomes a ‘semiprime’.
Even if you read and learn about something in school or out of it, there are (many) times when you need to dig deeper by yourself, in order to find a more reasonable explanation, based on your own words and cognitive way of thinking.
For example, what is the most spread answer about what is a prime? Answer: "A [positive integer] number that [generates another integer when] divisible only by one or by itself".
But that does not explains how a prime is born, or why it is on that particular position in the sequence of numbers.
I found a childish easier way to explain that:
"Sequencing numbers, a prime is born in that position when no smaller prime numbers can multiply and occupy such position, so a new prime must be inserted there".
Based on the above, an 'odd' number that can be composed by multiplying smaller primes. If only two smaller primes are used, even if square of only one, then the new number is called 'semiprime'. Examples of semiprime: 6, 9, 21, 49, 139(13*13), 161(23*7).
Hope it helps...
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Two numbers are said to be co-primes if they do not have any common factor other than 1.
Eg : (2, 3), (3, 4), (4, 5), (5, 7), and (13, 17) are co-primes.
Eg : (3, 4), (6, 7) and (4, 13).