What is the 433rd prime number?
The 433rd prime number is 3019. The next prime is 3023 (a gap of 4) and the one before is 3011.
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 433rd one is 3019.
- 2
3019 is prime because no prime up to ā3019 ā 54.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 433rd prime is close to 433 Ć ln(433) ā 2629, and here it is 3019.
- 4
3019 has no twin: neither 3017 nor 3021 is prime.
Primes around the 433rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 430 | 2999 | 28 |
| 431 | 3001 | 2 |
| 432 | 3011 | 10 |
| 433 | 3019 | 8 |
| 434 | 3023 | 4 |
| 435 | 3037 | 14 |
| 436 | 3041 | 4 |
Questions
What is the 433rd prime number?
3019.
Which prime number is 3019?
3019 is the 433rd prime number.
What is the sum of the first 433 primes?
602,854.