What is the 3708th prime number?
The 3708th prime number is 34721. The next prime is 34729 (a gap of 8) and the one before is 34703.
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 3708th one is 34721.
- 2
34721 is prime because no prime up to ā34721 ā 186.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3708th prime is close to 3708 Ć ln(3708) ā 30473, and here it is 34721.
- 4
34721 has no twin: neither 34719 nor 34723 is prime.
Primes around the 3708th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3705 | 34687 | 8 |
| 3706 | 34693 | 6 |
| 3707 | 34703 | 10 |
| 3708 | 34721 | 18 |
| 3709 | 34729 | 8 |
| 3710 | 34739 | 10 |
| 3711 | 34747 | 8 |
Questions
What is the 3708th prime number?
34721.
Which prime number is 34721?
34721 is the 3708th prime number.
What is the sum of the first 3708 primes?
60,668,679.