What is the 2431st prime number?
The 2431st prime number is 21649. The next prime is 21661 (a gap of 12) and the one before is 21647.
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 2431st one is 21649.
- 2
21649 is prime because no prime up to ā21649 ā 147.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2431st prime is close to 2431 Ć ln(2431) ā 18952, and here it is 21649.
- 4
21649 is a twin prime: 21647 and 21649 are both prime.
Primes around the 2431st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2428 | 21613 | 2 |
| 2429 | 21617 | 4 |
| 2430 | 21647 | 30 |
| 2431 | 21649 | 2 |
| 2432 | 21661 | 12 |
| 2433 | 21673 | 12 |
| 2434 | 21683 | 10 |
Questions
What is the 2431st prime number?
21649.
Which prime number is 21649?
21649 is the 2431st prime number.
What is the sum of the first 2431 primes?
24,693,312.