What is the 235th prime number?
The 235th prime number is 1483. The next prime is 1487 (a gap of 4) and the one before is 1481.
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 235th one is 1483.
- 2
1483 is prime because no prime up to ā1483 ā 38.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 235th prime is close to 235 Ć ln(235) ā 1283, and here it is 1483.
- 4
1483 is a twin prime: 1481 and 1483 are both prime.
Primes around the 235th
| Position | Prime | Gap from the previous |
|---|---|---|
| 232 | 1459 | 6 |
| 233 | 1471 | 12 |
| 234 | 1481 | 10 |
| 235 | 1483 | 2 |
| 236 | 1487 | 4 |
| 237 | 1489 | 2 |
| 238 | 1493 | 4 |
Questions
What is the 235th prime number?
1483.
Which prime number is 1483?
1483 is the 235th prime number.
What is the sum of the first 235 primes?
159,072.