311 (number)


311 is the natural number following 310 and preceding 312.

In mathematics

311 is the 64th prime; a twin prime with 313; an irregular prime; an Eisenstein prime with no imaginary part and real part of the form ; a Gaussian prime with no imaginary part and real part of the form ; and a permutable prime with 113 and 131.

It can be expressed as a sum of consecutive primes in four different ways: as a sum of three consecutive primes, as a sum of five consecutive primes, as a sum of seven consecutive primes, and as a sum of eleven consecutive primes.

311 is a strictly non-palindromic number, as it is not palindromic in any base between base 2 and base 309.
311 is the smallest positive integer d such that the imaginary quadratic field Q has class number = 19.

Notable uses of numerical value