What is the 3509th prime number?
The 3509th prime number is 32713. The next prime is 32717 (a gap of 4) and the one before is 32707.
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 3509th one is 32713.
- 2
32713 is prime because no prime up to ā32713 ā 180.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3509th prime is close to 3509 Ć ln(3509) ā 28644, and here it is 32713.
- 4
32713 has no twin: neither 32711 nor 32715 is prime.
Primes around the 3509th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3506 | 32687 | 34 |
| 3507 | 32693 | 6 |
| 3508 | 32707 | 14 |
| 3509 | 32713 | 6 |
| 3510 | 32717 | 4 |
| 3511 | 32719 | 2 |
| 3512 | 32749 | 30 |
Questions
What is the 3509th prime number?
32713.
Which prime number is 32713?
32713 is the 3509th prime number.
What is the sum of the first 3509 primes?
53,958,578.