7019

7019 is a natural number that follows 7018 and precedes 7020. It is a prime number, meaning its only positive divisors are 1 and itself. As a prime, 7019 cannot be factored into smaller integers, which makes it a typical example in elementary and computational number theory.

In modular arithmetic, 7019 is congruent to 3 modulo 4 (7019 ≡ 3 mod 4). This places it among the primes of the form 4k+3, which implies that 7019 cannot be expressed as a sum of two squares. Such a property is often cited in discussions of how primes interact with representations as sums of squares.

Decimal-wise, 7019 has four digits and includes a zero. The sum of its digits is 17, a number not divisible by 3, confirming that 7019 is not divisible by 3. The number ends in 9, so it is not divisible by 5. A straightforward check shows no divisors up to its approximate square root of 83.8, consistent with its primality.

Primes like 7019 appear in mathematical problem sets, primality testing examples, and lists of prime numbers. While 7019 does not have widely noted special significance beyond its role as a four-digit prime, it serves as a representative instance of prime behavior in basic number theory and algorithmic contexts.