What is the 6913th prime number?
The 6913th prime number is 69737. The next prime is 69739 (a gap of 2) and the one before is 69709.
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 6913th one is 69737.
- 2
69737 is prime because no prime up to ā69737 ā 264.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6913th prime is close to 6913 Ć ln(6913) ā 61119, and here it is 69737.
- 4
69737 is a twin prime: 69737 and 69739 are both prime.
Primes around the 6913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6910 | 69691 | 14 |
| 6911 | 69697 | 6 |
| 6912 | 69709 | 12 |
| 6913 | 69737 | 28 |
| 6914 | 69739 | 2 |
| 6915 | 69761 | 22 |
| 6916 | 69763 | 2 |
Questions
What is the 6913th prime number?
69737.
Which prime number is 69737?
69737 is the 6913th prime number.
What is the sum of the first 6913 primes?
227,353,492.