What is the 3637th prime number?
The 3637th prime number is 33967. The next prime is 33997 (a gap of 30) and the one before is 33961.
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 3637th one is 33967.
- 2
33967 is prime because no prime up to ā33967 ā 184.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3637th prime is close to 3637 Ć ln(3637) ā 29819, and here it is 33967.
- 4
33967 has no twin: neither 33965 nor 33969 is prime.
Primes around the 3637th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3634 | 33937 | 6 |
| 3635 | 33941 | 4 |
| 3636 | 33961 | 20 |
| 3637 | 33967 | 6 |
| 3638 | 33997 | 30 |
| 3639 | 34019 | 22 |
| 3640 | 34031 | 12 |
Questions
What is the 3637th prime number?
33967.
Which prime number is 33967?
33967 is the 3637th prime number.
What is the sum of the first 3637 primes?
58,228,040.