What is the 3507th prime number?
The 3507th prime number is 32693. The next prime is 32707 (a gap of 14) and the one before is 32687.
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 3507th one is 32693.
- 2
32693 is prime because no prime up to ā32693 ā 180.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3507th prime is close to 3507 Ć ln(3507) ā 28626, and here it is 32693.
- 4
32693 has no twin: neither 32691 nor 32695 is prime.
Primes around the 3507th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3504 | 32647 | 14 |
| 3505 | 32653 | 6 |
| 3506 | 32687 | 34 |
| 3507 | 32693 | 6 |
| 3508 | 32707 | 14 |
| 3509 | 32713 | 6 |
| 3510 | 32717 | 4 |
Questions
What is the 3507th prime number?
32693.
Which prime number is 32693?
32693 is the 3507th prime number.
What is the sum of the first 3507 primes?
53,893,158.