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 401 is a prime number from 401-500. 401 has 2 factors, 1 and 401. It is the 79th prime number, and the first prime number from 401-500.

Proofs

  • Yes — 401 can be divided by 1.
  • No — 401 cannot be divided by 2-400.
  • Yes — 401 can be divided by 401.


Relationship with other odd numbers

The numbers before

  • The previous prime number is 397.
    • 397 and 401 are four numbers apart; therefore, they are cousin primes.
  • The previous prime number before 397 is 389.
    • In particular, 391 is not a prime number, because it is the product of 17 and 23.

The numbers after

  • The next prime number is 409.
    • 403 is divisible by 13 and 31, while 407 is divisible by 11 and 37.
  • 419 is the next prime number after 409.
    • 413 is the product of 7 and 59.

Trivia

  • It is the sum of seven consecutive prime (43+47+53+59+61+67+71), and also nine consecutive primes (29+31+37+41+43+47+53+59+61)