What is the 3684th prime number?
The 3684th prime number is 34487. The next prime is 34499 (a gap of 12) and the one before is 34483.
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 3684th one is 34487.
- 2
34487 is prime because no prime up to ā34487 ā 185.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3684th prime is close to 3684 Ć ln(3684) ā 30252, and here it is 34487.
- 4
34487 has no twin: neither 34485 nor 34489 is prime.
Primes around the 3684th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3681 | 34469 | 12 |
| 3682 | 34471 | 2 |
| 3683 | 34483 | 12 |
| 3684 | 34487 | 4 |
| 3685 | 34499 | 12 |
| 3686 | 34501 | 2 |
| 3687 | 34511 | 10 |
Questions
What is the 3684th prime number?
34487.
Which prime number is 34487?
34487 is the 3684th prime number.
What is the sum of the first 3684 primes?
59,838,167.