What is the 6917th prime number?
The 6917th prime number is 69767. The next prime is 69779 (a gap of 12) and the one before is 69763.
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 6917th one is 69767.
- 2
69767 is prime because no prime up to ā69767 ā 264.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6917th prime is close to 6917 Ć ln(6917) ā 61158, and here it is 69767.
- 4
69767 has no twin: neither 69765 nor 69769 is prime.
Primes around the 6917th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6914 | 69739 | 2 |
| 6915 | 69761 | 22 |
| 6916 | 69763 | 2 |
| 6917 | 69767 | 4 |
| 6918 | 69779 | 12 |
| 6919 | 69809 | 30 |
| 6920 | 69821 | 12 |
Questions
What is the 6917th prime number?
69767.
Which prime number is 69767?
69767 is the 6917th prime number.
What is the sum of the first 6917 primes?
227,632,522.