What is the 2632nd prime number?
The 2632nd prime number is 23663. The next prime is 23669 (a gap of 6) and the one before is 23633.
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 2632nd one is 23663.
- 2
23663 is prime because no prime up to ā23663 ā 153.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2632nd prime is close to 2632 Ć ln(2632) ā 20728, and here it is 23663.
- 4
23663 has no twin: neither 23661 nor 23665 is prime.
Primes around the 2632nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2629 | 23627 | 4 |
| 2630 | 23629 | 2 |
| 2631 | 23633 | 4 |
| 2632 | 23663 | 30 |
| 2633 | 23669 | 6 |
| 2634 | 23671 | 2 |
| 2635 | 23677 | 6 |
Questions
What is the 2632nd prime number?
23663.
Which prime number is 23663?
23663 is the 2632nd prime number.
What is the sum of the first 2632 primes?
29,246,937.