What is the 231st prime number?
The 231st prime number is 1453. The next prime is 1459 (a gap of 6) and the one before is 1451.
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 231st one is 1453.
- 2
1453 is prime because no prime up to ā1453 ā 38.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 231st prime is close to 231 Ć ln(231) ā 1257, and here it is 1453.
- 4
1453 is a twin prime: 1451 and 1453 are both prime.
Primes around the 231st
| Position | Prime | Gap from the previous |
|---|---|---|
| 228 | 1439 | 6 |
| 229 | 1447 | 8 |
| 230 | 1451 | 4 |
| 231 | 1453 | 2 |
| 232 | 1459 | 6 |
| 233 | 1471 | 12 |
| 234 | 1481 | 10 |
Questions
What is the 231st prime number?
1453.
Which prime number is 1453?
1453 is the 231st prime number.
What is the sum of the first 231 primes?
153,178.