What is the 3508th prime number?
The 3508th prime number is 32707. The next prime is 32713 (a gap of 6) and the one before is 32693.
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 3508th one is 32707.
- 2
32707 is prime because no prime up to ā32707 ā 180.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3508th prime is close to 3508 Ć ln(3508) ā 28635, and here it is 32707.
- 4
32707 has no twin: neither 32705 nor 32709 is prime.
Primes around the 3508th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3505 | 32653 | 6 |
| 3506 | 32687 | 34 |
| 3507 | 32693 | 6 |
| 3508 | 32707 | 14 |
| 3509 | 32713 | 6 |
| 3510 | 32717 | 4 |
| 3511 | 32719 | 2 |
Questions
What is the 3508th prime number?
32707.
Which prime number is 32707?
32707 is the 3508th prime number.
What is the sum of the first 3508 primes?
53,925,865.