What is the 3710th prime number?
The 3710th prime number is 34739. The next prime is 34747 (a gap of 8) and the one before is 34729.
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 3710th one is 34739.
- 2
34739 is prime because no prime up to ā34739 ā 186.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3710th prime is close to 3710 Ć ln(3710) ā 30492, and here it is 34739.
- 4
34739 has no twin: neither 34737 nor 34741 is prime.
Primes around the 3710th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3707 | 34703 | 10 |
| 3708 | 34721 | 18 |
| 3709 | 34729 | 8 |
| 3710 | 34739 | 10 |
| 3711 | 34747 | 8 |
| 3712 | 34757 | 10 |
| 3713 | 34759 | 2 |
Questions
What is the 3710th prime number?
34739.
Which prime number is 34739?
34739 is the 3710th prime number.
What is the sum of the first 3710 primes?
60,738,147.