What is the 2430th prime number?
The 2430th prime number is 21647. The next prime is 21649 (a gap of 2) and the one before is 21617.
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 2430th one is 21647.
- 2
21647 is prime because no prime up to ā21647 ā 147.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2430th prime is close to 2430 Ć ln(2430) ā 18943, and here it is 21647.
- 4
21647 is a twin prime: 21647 and 21649 are both prime.
Primes around the 2430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2427 | 21611 | 10 |
| 2428 | 21613 | 2 |
| 2429 | 21617 | 4 |
| 2430 | 21647 | 30 |
| 2431 | 21649 | 2 |
| 2432 | 21661 | 12 |
| 2433 | 21673 | 12 |
Questions
What is the 2430th prime number?
21647.
Which prime number is 21647?
21647 is the 2430th prime number.
What is the sum of the first 2430 primes?
24,671,663.