What is the 233rd prime number?
The 233rd prime number is 1471. The next prime is 1481 (a gap of 10) and the one before is 1459.
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 233rd one is 1471.
- 2
1471 is prime because no prime up to ā1471 ā 38.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 233rd prime is close to 233 Ć ln(233) ā 1270, and here it is 1471.
- 4
1471 has no twin: neither 1469 nor 1473 is prime.
Primes around the 233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 230 | 1451 | 4 |
| 231 | 1453 | 2 |
| 232 | 1459 | 6 |
| 233 | 1471 | 12 |
| 234 | 1481 | 10 |
| 235 | 1483 | 2 |
| 236 | 1487 | 4 |
Questions
What is the 233rd prime number?
1471.
Which prime number is 1471?
1471 is the 233rd prime number.
What is the sum of the first 233 primes?
156,108.