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From Wikipedia, the free encyclopedia

213 (two hundred [and] thirteen) is the number following 212 and preceding 214.

It is the smallest of a triple consecutive numbers that are products of two distinct prime numbers: 213 = 3 × 71, 214 = 2 × 107, and 215 = 5 × 43.[1] Its square is a sum of distinct factorials: 2132 = 45369 = 1! + 2! + 3! + 7! + 8!.[2]

See also


  1. ^ Sloane, N. J. A. (ed.). "Sequence A039833 (Smallest of three consecutive squarefree numbers n, n+1, n+2 of the form p*q where p and q are primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..
  2. ^ Sloane, N. J. A. (ed.). "Sequence A014597 (Numbers n such that n^2 is a sum of distinct factorials)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation..
This page was last edited on 13 May 2019, at 14:54
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