Is 42315017 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 315 017 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 42 315 017, the only two divisors are 1 and 42 315 017. Therefore 42 315 017 is a prime number.
As a consequence, 42 315 017 is only a multiple of 1 and 42 315 017.
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Since 42315017 is a prime number, 42315017 is also a deficient number, that is to say 42315017 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42315017 without 42315017 itself (that is 1, by definition!).