Primes / Is 353 prime?

Is 353 a Prime Number?

Yes

353 is prime: for 353, testing every prime up to √353 ≈ 18.8 (namely 2, 3, 5, 7, 11, 13, 17) finds no divisor. 353 sits between primes 349 and 359, 4 below and 6 above. 353 shares no factor with 2-12; 353's divisors start beyond that range. 353 is odd, digit sum 11 for 353, digital root 2 for 353. 353 has 4 primes within 10 of 353.