What is the 3631st prime number?
The 3631st prime number is 33911. The next prime is 33923 (a gap of 12) and the one before is 33893.
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 3631st one is 33911.
- 2
33911 is prime because no prime up to ā33911 ā 184.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3631st prime is close to 3631 Ć ln(3631) ā 29764, and here it is 33911.
- 4
33911 has no twin: neither 33909 nor 33913 is prime.
Primes around the 3631st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3628 | 33871 | 8 |
| 3629 | 33889 | 18 |
| 3630 | 33893 | 4 |
| 3631 | 33911 | 18 |
| 3632 | 33923 | 12 |
| 3633 | 33931 | 8 |
| 3634 | 33937 | 6 |
Questions
What is the 3631st prime number?
33911.
Which prime number is 33911?
33911 is the 3631st prime number.
What is the sum of the first 3631 primes?
58,024,380.