What is the 3630th prime number?
The 3630th prime number is 33893. The next prime is 33911 (a gap of 18) and the one before is 33889.
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 3630th one is 33893.
- 2
33893 is prime because no prime up to ā33893 ā 184.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3630th prime is close to 3630 Ć ln(3630) ā 29755, and here it is 33893.
- 4
33893 has no twin: neither 33891 nor 33895 is prime.
Primes around the 3630th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3627 | 33863 | 6 |
| 3628 | 33871 | 8 |
| 3629 | 33889 | 18 |
| 3630 | 33893 | 4 |
| 3631 | 33911 | 18 |
| 3632 | 33923 | 12 |
| 3633 | 33931 | 8 |
Questions
What is the 3630th prime number?
33893.
Which prime number is 33893?
33893 is the 3630th prime number.
What is the sum of the first 3630 primes?
57,990,469.