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Prime Numbers :-A natural number larger than unity is a prime number if itdoes not have other divisors except for itself and unity. Note:-Unity i e,1 is not a prime number. Properties Of Prime Numbers:- ->The lowest prime number is 2. ->2 is also the only even prime number. ->The lowest odd prime number is 3. ->The remainder when a prime number p>=5 s divided by 6 is 1 or 5.However, if a number on being divided by 6 gives a remainder 1 or 5 need not be prime. ->The remainder of division of the square of a prime number p>=5 divide by 24 is 1. ->For prime numbers p>3, p²-1 is divided by 24. ->If a and b are any 2 odd primes then a²-b² is composite. Also a²+b² is composite. ->The remainder of the division of the square of a prime number p>=5 divided by 12 is 1. BACK |