What is the 237th prime number?
The 237th prime number is 1489. The next prime is 1493 (a gap of 4) and the one before is 1487.
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 237th one is 1489.
- 2
1489 is prime because no prime up to ā1489 ā 38.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 237th prime is close to 237 Ć ln(237) ā 1296, and here it is 1489.
- 4
1489 is a twin prime: 1487 and 1489 are both prime.
Primes around the 237th
| Position | Prime | Gap from the previous |
|---|---|---|
| 234 | 1481 | 10 |
| 235 | 1483 | 2 |
| 236 | 1487 | 4 |
| 237 | 1489 | 2 |
| 238 | 1493 | 4 |
| 239 | 1499 | 6 |
| 240 | 1511 | 12 |
Questions
What is the 237th prime number?
1489.
Which prime number is 1489?
1489 is the 237th prime number.
What is the sum of the first 237 primes?
162,048.