Primes / Is 461 prime?

Is 461 a Prime Number?

Yes

461 is prime: for 461, testing every prime up to √461 ≈ 21.5 (namely 2, 3, 5, 7, 11, 13, 17, 19) finds no divisor. 461 sits between primes 457 and 463, 4 below and 2 above. 461 shares no factor with 2-12; 461's divisors start beyond that range. 461 is odd, digit sum 11 for 461, digital root 2 for 461. 461 has 4 primes within 10 of 461.