Is 201200743 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 201 200 743 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 201 200 743, the only two divisors are 1 and 201 200 743. Therefore 201 200 743 is a prime number.
As a consequence, 201 200 743 is only a multiple of 1 and 201 200 743.
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Since 201200743 is a prime number, 201200743 is also a deficient number, that is to say 201200743 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 201200743 without 201200743 itself (that is 1, by definition!).
