What is the 2634th prime number?
The 2634th prime number is 23671. The next prime is 23677 (a gap of 6) and the one before is 23669.
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 2634th one is 23671.
- 2
23671 is prime because no prime up to ā23671 ā 153.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2634th prime is close to 2634 Ć ln(2634) ā 20746, and here it is 23671.
- 4
23671 is a twin prime: 23669 and 23671 are both prime.
Primes around the 2634th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2631 | 23633 | 4 |
| 2632 | 23663 | 30 |
| 2633 | 23669 | 6 |
| 2634 | 23671 | 2 |
| 2635 | 23677 | 6 |
| 2636 | 23687 | 10 |
| 2637 | 23689 | 2 |
Questions
What is the 2634th prime number?
23671.
Which prime number is 23671?
23671 is the 2634th prime number.
What is the sum of the first 2634 primes?
29,294,277.