What is the 3634th prime number?
The 3634th prime number is 33937. The next prime is 33941 (a gap of 4) and the one before is 33931.
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 3634th one is 33937.
- 2
33937 is prime because no prime up to ā33937 ā 184.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3634th prime is close to 3634 Ć ln(3634) ā 29792, and here it is 33937.
- 4
33937 has no twin: neither 33935 nor 33939 is prime.
Primes around the 3634th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3631 | 33911 | 18 |
| 3632 | 33923 | 12 |
| 3633 | 33931 | 8 |
| 3634 | 33937 | 6 |
| 3635 | 33941 | 4 |
| 3636 | 33961 | 20 |
| 3637 | 33967 | 6 |
Questions
What is the 3634th prime number?
33937.
Which prime number is 33937?
33937 is the 3634th prime number.
What is the sum of the first 3634 primes?
58,126,171.