Primes / Is 457 prime?

Is 457 a Prime Number?

Yes

457 is prime: for 457, testing every prime up to √457 ≈ 21.4 (namely 2, 3, 5, 7, 11, 13, 17, 19) finds no divisor. 457 sits between primes 449 and 461, 8 below and 4 above. 457 shares no factor with 2-12; 457's divisors start beyond that range. 457 is odd, digit sum 16 for 457, digital root 7 for 457. 457 has 5 primes within 10 of 457.