What is the 3689th prime number?
The 3689th prime number is 34519. The next prime is 34537 (a gap of 18) and the one before is 34513.
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 3689th one is 34519.
- 2
34519 is prime because no prime up to ā34519 ā 185.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3689th prime is close to 3689 Ć ln(3689) ā 30298, and here it is 34519.
- 4
34519 has no twin: neither 34517 nor 34521 is prime.
Primes around the 3689th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3686 | 34501 | 2 |
| 3687 | 34511 | 10 |
| 3688 | 34513 | 2 |
| 3689 | 34519 | 6 |
| 3690 | 34537 | 18 |
| 3691 | 34543 | 6 |
| 3692 | 34549 | 6 |
Questions
What is the 3689th prime number?
34519.
Which prime number is 34519?
34519 is the 3689th prime number.
What is the sum of the first 3689 primes?
60,010,710.