What is the 3707th prime number?
The 3707th prime number is 34703. The next prime is 34721 (a gap of 18) and the one before is 34693.
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 3707th one is 34703.
- 2
34703 is prime because no prime up to ā34703 ā 186.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3707th prime is close to 3707 Ć ln(3707) ā 30464, and here it is 34703.
- 4
34703 has no twin: neither 34701 nor 34705 is prime.
Primes around the 3707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3704 | 34679 | 6 |
| 3705 | 34687 | 8 |
| 3706 | 34693 | 6 |
| 3707 | 34703 | 10 |
| 3708 | 34721 | 18 |
| 3709 | 34729 | 8 |
| 3710 | 34739 | 10 |
Questions
What is the 3707th prime number?
34703.
Which prime number is 34703?
34703 is the 3707th prime number.
What is the sum of the first 3707 primes?
60,633,958.