211 is a 3-digit prime number. 211 has 2 factors, 1 and 211. It is the 47th prime number, and the first prime number from 201-300.
Proofs[]
— 211 is divisible by 1.
— 211 is not divisible by 2-210.
- — 211 is divisible by 211.
Therefore, 211 is a prime number.
As an Exponent of Mersenne Number[]
2211 - 1 is divisible by 15,193, 60,272,956,433,838,849,161, etc., and is therefore not a prime number.
Relationship with other odd numbers[]
The numbers before[]
- 197 is the second previous prime number.
- 199 is the prime number preceding 211.
- 201 is a composite number. Its prime factorization is 3 × 67.
- 203 is also a composite number. Its prime factorization is 7 × 29.
- 205 is another composite number. Its prime factorization is 5 × 41.
- 207 is yet another composite number. Its prime factorization is 32 × 23.
- 209 is yet another composite number. Its prime factorization is 11 × 19.
The numbers after[]
- 213 is a composite number. Its prime factorization is 3 × 71.
- 215 is also a composite number. Its prime factorization is 5 × 43.
- 217 is another composite number. Its prime factorization is 7 × 31.
- 219 is yet another composite number. Its prime factorization is 3 × 73.
- 221 is yet another composite number. Its prime factorization is 13 × 17.
- 223 is the prime number following 211.
Trivia[]
- 211 is a primorial prime, meaning it is one more or less than a primorial. In this case, it is one more than 210, the product of the first four prime numbers (2 × 3 × 5 × 7).
- 211 is the smallest prime separated by 12 from the nearest primes. Thus, it is a balanced prime and an isolated prime.
- 211 is the 47th prime number. Since 47 itself is prime, 211 is a super prime.
- 211 is a repdigit in base 14 (11114).