What is the 50th prime number?
The 50th prime number is 229. The next prime is 233 (a gap of 4) and the one before is 227.
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 50th one is 229.
- 2
229 is prime because no prime up to ā229 ā 15.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 50th prime is close to 50 Ć ln(50) ā 196, and here it is 229.
- 4
229 is a twin prime: 227 and 229 are both prime.
Primes around the 50th
| Position | Prime | Gap from the previous |
|---|---|---|
| 47 | 211 | 12 |
| 48 | 223 | 12 |
| 49 | 227 | 4 |
| 50 | 229 | 2 |
| 51 | 233 | 4 |
| 52 | 239 | 6 |
| 53 | 241 | 2 |
Questions
What is the 50th prime number?
229.
Which prime number is 229?
229 is the 50th prime number.
What is the sum of the first 50 primes?
5,117.