Write all pairs of prime numbers upto 100, between which there are exactly 5 composite numbers. pls answer
Answers
Answer:
Composite numbers are those which are the product of at least two prime numbers. (It’s OK if the prime factors of the number are repeated).
Prime numbers are those which have only two factors: The number 1, and the prime number itself.
The number 1 is a unique case — it has only one factor (itself), and is thus not included in the set of prime numbers.
In the range 1 to 100 inclusive, the list of prime numbers is as follows:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Now start with a list of every number between 1 and 100 (inclusive). Remove the 1. Now remove all of the primes (from the list shown above). What remains is a list of all of the composite numbers:
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
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