What is the 49th prime number?
The 49th prime number is 227. The next prime is 229 (a gap of 2) and the one before is 223.
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 49th one is 227.
- 2
227 is prime because no prime up to ā227 ā 15.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 49th prime is close to 49 Ć ln(49) ā 191, and here it is 227.
- 4
227 is a twin prime: 227 and 229 are both prime.
Primes around the 49th
| Position | Prime | Gap from the previous |
|---|---|---|
| 46 | 199 | 2 |
| 47 | 211 | 12 |
| 48 | 223 | 12 |
| 49 | 227 | 4 |
| 50 | 229 | 2 |
| 51 | 233 | 4 |
| 52 | 239 | 6 |
Questions
What is the 49th prime number?
227.
Which prime number is 227?
227 is the 49th prime number.
What is the sum of the first 49 primes?
4,888.