What is the 234th prime number?
The 234th prime number is 1481. The next prime is 1483 (a gap of 2) and the one before is 1471.
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 234th one is 1481.
- 2
1481 is prime because no prime up to ā1481 ā 38.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 234th prime is close to 234 Ć ln(234) ā 1277, and here it is 1481.
- 4
1481 is a twin prime: 1481 and 1483 are both prime.
Primes around the 234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 231 | 1453 | 2 |
| 232 | 1459 | 6 |
| 233 | 1471 | 12 |
| 234 | 1481 | 10 |
| 235 | 1483 | 2 |
| 236 | 1487 | 4 |
| 237 | 1489 | 2 |
Questions
What is the 234th prime number?
1481.
Which prime number is 1481?
1481 is the 234th prime number.
What is the sum of the first 234 primes?
157,589.