What is the 3639th prime number?
The 3639th prime number is 34019. The next prime is 34031 (a gap of 12) and the one before is 33997.
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 3639th one is 34019.
- 2
34019 is prime because no prime up to ā34019 ā 184.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3639th prime is close to 3639 Ć ln(3639) ā 29838, and here it is 34019.
- 4
34019 has no twin: neither 34017 nor 34021 is prime.
Primes around the 3639th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3636 | 33961 | 20 |
| 3637 | 33967 | 6 |
| 3638 | 33997 | 30 |
| 3639 | 34019 | 22 |
| 3640 | 34031 | 12 |
| 3641 | 34033 | 2 |
| 3642 | 34039 | 6 |
Questions
What is the 3639th prime number?
34019.
Which prime number is 34019?
34019 is the 3639th prime number.
What is the sum of the first 3639 primes?
58,296,056.