What is the 3714th prime number?
The 3714th prime number is 34763. The next prime is 34781 (a gap of 18) and the one before is 34759.
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 3714th one is 34763.
- 2
34763 is prime because no prime up to ā34763 ā 186.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3714th prime is close to 3714 Ć ln(3714) ā 30529, and here it is 34763.
- 4
34763 has no twin: neither 34761 nor 34765 is prime.
Primes around the 3714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3711 | 34747 | 8 |
| 3712 | 34757 | 10 |
| 3713 | 34759 | 2 |
| 3714 | 34763 | 4 |
| 3715 | 34781 | 18 |
| 3716 | 34807 | 26 |
| 3717 | 34819 | 12 |
Questions
What is the 3714th prime number?
34763.
Which prime number is 34763?
34763 is the 3714th prime number.
What is the sum of the first 3714 primes?
60,877,173.