What is the 6918th prime number?
The 6918th prime number is 69779. The next prime is 69809 (a gap of 30) and the one before is 69767.
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 6918th one is 69779.
- 2
69779 is prime because no prime up to ā69779 ā 264.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6918th prime is close to 6918 Ć ln(6918) ā 61168, and here it is 69779.
- 4
69779 has no twin: neither 69777 nor 69781 is prime.
Primes around the 6918th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6915 | 69761 | 22 |
| 6916 | 69763 | 2 |
| 6917 | 69767 | 4 |
| 6918 | 69779 | 12 |
| 6919 | 69809 | 30 |
| 6920 | 69821 | 12 |
| 6921 | 69827 | 6 |
Questions
What is the 6918th prime number?
69779.
Which prime number is 69779?
69779 is the 6918th prime number.
What is the sum of the first 6918 primes?
227,702,301.