What is the 632nd prime number?
The 632nd prime number is 4673. The next prime is 4679 (a gap of 6) and the one before is 4663.
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 632nd one is 4673.
- 2
4673 is prime because no prime up to ā4673 ā 68.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 632nd prime is close to 632 Ć ln(632) ā 4076, and here it is 4673.
- 4
4673 has no twin: neither 4671 nor 4675 is prime.
Primes around the 632nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 629 | 4651 | 2 |
| 630 | 4657 | 6 |
| 631 | 4663 | 6 |
| 632 | 4673 | 10 |
| 633 | 4679 | 6 |
| 634 | 4691 | 12 |
| 635 | 4703 | 12 |
Questions
What is the 632nd prime number?
4673.
Which prime number is 4673?
4673 is the 632nd prime number.
What is the sum of the first 632 primes?
1,368,665.