What is the 47th prime number?
The 47th prime number is 211. The next prime is 223 (a gap of 12) and the one before is 199.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 47th one is 211.
- 2
211 is prime because no prime up to ā211 ā 14.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 47th prime is close to 47 Ć ln(47) ā 181, and here it is 211.
- 4
211 has no twin: neither 209 nor 213 is prime.
Primes around the 47th
| Position | Prime | Gap from the previous |
|---|---|---|
| 44 | 193 | 2 |
| 45 | 197 | 4 |
| 46 | 199 | 2 |
| 47 | 211 | 12 |
| 48 | 223 | 12 |
| 49 | 227 | 4 |
| 50 | 229 | 2 |
Questions
What is the 47th prime number?
211.
Which prime number is 211?
211 is the 47th prime number.
What is the sum of the first 47 primes?
4,438.