What is the 434th prime number?
The 434th prime number is 3023. The next prime is 3037 (a gap of 14) and the one before is 3019.
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 434th one is 3023.
- 2
3023 is prime because no prime up to ā3023 ā 54.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 434th prime is close to 434 Ć ln(434) ā 2636, and here it is 3023.
- 4
3023 has no twin: neither 3021 nor 3025 is prime.
Primes around the 434th
| Position | Prime | Gap from the previous |
|---|---|---|
| 431 | 3001 | 2 |
| 432 | 3011 | 10 |
| 433 | 3019 | 8 |
| 434 | 3023 | 4 |
| 435 | 3037 | 14 |
| 436 | 3041 | 4 |
| 437 | 3049 | 8 |
Questions
What is the 434th prime number?
3023.
Which prime number is 3023?
3023 is the 434th prime number.
What is the sum of the first 434 primes?
605,877.