What is the 3709th prime number?
The 3709th prime number is 34729. The next prime is 34739 (a gap of 10) and the one before is 34721.
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 3709th one is 34729.
- 2
34729 is prime because no prime up to ā34729 ā 186.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3709th prime is close to 3709 Ć ln(3709) ā 30482, and here it is 34729.
- 4
34729 has no twin: neither 34727 nor 34731 is prime.
Primes around the 3709th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3706 | 34693 | 6 |
| 3707 | 34703 | 10 |
| 3708 | 34721 | 18 |
| 3709 | 34729 | 8 |
| 3710 | 34739 | 10 |
| 3711 | 34747 | 8 |
| 3712 | 34757 | 10 |
Questions
What is the 3709th prime number?
34729.
Which prime number is 34729?
34729 is the 3709th prime number.
What is the sum of the first 3709 primes?
60,703,408.