What is the 3716th prime number?
The 3716th prime number is 34807. The next prime is 34819 (a gap of 12) and the one before is 34781.
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 3716th one is 34807.
- 2
34807 is prime because no prime up to ā34807 ā 186.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3716th prime is close to 3716 Ć ln(3716) ā 30547, and here it is 34807.
- 4
34807 has no twin: neither 34805 nor 34809 is prime.
Primes around the 3716th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3713 | 34759 | 2 |
| 3714 | 34763 | 4 |
| 3715 | 34781 | 18 |
| 3716 | 34807 | 26 |
| 3717 | 34819 | 12 |
| 3718 | 34841 | 22 |
| 3719 | 34843 | 2 |
Questions
What is the 3716th prime number?
34807.
Which prime number is 34807?
34807 is the 3716th prime number.
What is the sum of the first 3716 primes?
60,946,761.