What is the 2434th prime number?
The 2434th prime number is 21683. The next prime is 21701 (a gap of 18) and the one before is 21673.
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 2434th one is 21683.
- 2
21683 is prime because no prime up to ā21683 ā 147.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2434th prime is close to 2434 Ć ln(2434) ā 18979, and here it is 21683.
- 4
21683 has no twin: neither 21681 nor 21685 is prime.
Primes around the 2434th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2431 | 21649 | 2 |
| 2432 | 21661 | 12 |
| 2433 | 21673 | 12 |
| 2434 | 21683 | 10 |
| 2435 | 21701 | 18 |
| 2436 | 21713 | 12 |
| 2437 | 21727 | 14 |
Questions
What is the 2434th prime number?
21683.
Which prime number is 21683?
21683 is the 2434th prime number.
What is the sum of the first 2434 primes?
24,758,329.