What is the 3636th prime number?
The 3636th prime number is 33961. The next prime is 33967 (a gap of 6) and the one before is 33941.
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 3636th one is 33961.
- 2
33961 is prime because no prime up to ā33961 ā 184.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3636th prime is close to 3636 Ć ln(3636) ā 29810, and here it is 33961.
- 4
33961 has no twin: neither 33959 nor 33963 is prime.
Primes around the 3636th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3633 | 33931 | 8 |
| 3634 | 33937 | 6 |
| 3635 | 33941 | 4 |
| 3636 | 33961 | 20 |
| 3637 | 33967 | 6 |
| 3638 | 33997 | 30 |
| 3639 | 34019 | 22 |
Questions
What is the 3636th prime number?
33961.
Which prime number is 33961?
33961 is the 3636th prime number.
What is the sum of the first 3636 primes?
58,194,073.