What is the 332nd prime number?
The 332nd prime number is 2237. The next prime is 2239 (a gap of 2) and the one before is 2221.
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 332nd one is 2237.
- 2
2237 is prime because no prime up to ā2237 ā 47.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 332nd prime is close to 332 Ć ln(332) ā 1927, and here it is 2237.
- 4
2237 is a twin prime: 2237 and 2239 are both prime.
Primes around the 332nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 329 | 2207 | 4 |
| 330 | 2213 | 6 |
| 331 | 2221 | 8 |
| 332 | 2237 | 16 |
| 333 | 2239 | 2 |
| 334 | 2243 | 4 |
| 335 | 2251 | 8 |
Questions
What is the 332nd prime number?
2237.
Which prime number is 2237?
2237 is the 332nd prime number.
What is the sum of the first 332 primes?
338,279.