What is the 3635th prime number?
The 3635th prime number is 33941. The next prime is 33961 (a gap of 20) and the one before is 33937.
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 3635th one is 33941.
- 2
33941 is prime because no prime up to ā33941 ā 184.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3635th prime is close to 3635 Ć ln(3635) ā 29801, and here it is 33941.
- 4
33941 has no twin: neither 33939 nor 33943 is prime.
Primes around the 3635th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3632 | 33923 | 12 |
| 3633 | 33931 | 8 |
| 3634 | 33937 | 6 |
| 3635 | 33941 | 4 |
| 3636 | 33961 | 20 |
| 3637 | 33967 | 6 |
| 3638 | 33997 | 30 |
Questions
What is the 3635th prime number?
33941.
Which prime number is 33941?
33941 is the 3635th prime number.
What is the sum of the first 3635 primes?
58,160,112.