What is the 3713th prime number?
The 3713th prime number is 34759. The next prime is 34763 (a gap of 4) and the one before is 34757.
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 3713th one is 34759.
- 2
34759 is prime because no prime up to ā34759 ā 186.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3713th prime is close to 3713 Ć ln(3713) ā 30519, and here it is 34759.
- 4
34759 is a twin prime: 34757 and 34759 are both prime.
Primes around the 3713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3710 | 34739 | 10 |
| 3711 | 34747 | 8 |
| 3712 | 34757 | 10 |
| 3713 | 34759 | 2 |
| 3714 | 34763 | 4 |
| 3715 | 34781 | 18 |
| 3716 | 34807 | 26 |
Questions
What is the 3713th prime number?
34759.
Which prime number is 34759?
34759 is the 3713th prime number.
What is the sum of the first 3713 primes?
60,842,410.