What is the 232nd prime number?
The 232nd prime number is 1459. The next prime is 1471 (a gap of 12) and the one before is 1453.
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 232nd one is 1459.
- 2
1459 is prime because no prime up to ā1459 ā 38.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 232nd prime is close to 232 Ć ln(232) ā 1264, and here it is 1459.
- 4
1459 has no twin: neither 1457 nor 1461 is prime.
Primes around the 232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 229 | 1447 | 8 |
| 230 | 1451 | 4 |
| 231 | 1453 | 2 |
| 232 | 1459 | 6 |
| 233 | 1471 | 12 |
| 234 | 1481 | 10 |
| 235 | 1483 | 2 |
Questions
What is the 232nd prime number?
1459.
Which prime number is 1459?
1459 is the 232nd prime number.
What is the sum of the first 232 primes?
154,637.