What is the 6915th prime number?
The 6915th prime number is 69761. The next prime is 69763 (a gap of 2) and the one before is 69739.
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 6915th one is 69761.
- 2
69761 is prime because no prime up to ā69761 ā 264.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6915th prime is close to 6915 Ć ln(6915) ā 61139, and here it is 69761.
- 4
69761 is a twin prime: 69761 and 69763 are both prime.
Primes around the 6915th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6912 | 69709 | 12 |
| 6913 | 69737 | 28 |
| 6914 | 69739 | 2 |
| 6915 | 69761 | 22 |
| 6916 | 69763 | 2 |
| 6917 | 69767 | 4 |
| 6918 | 69779 | 12 |
Questions
What is the 6915th prime number?
69761.
Which prime number is 69761?
69761 is the 6915th prime number.
What is the sum of the first 6915 primes?
227,492,992.