What is the 6749th prime number?
The 6749th prime number is 67759. The next prime is 67763 (a gap of 4) and the one before is 67757.
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 6749th one is 67759.
- 2
67759 is prime because no prime up to ā67759 ā 260.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6749th prime is close to 6749 Ć ln(6749) ā 59507, and here it is 67759.
- 4
67759 is a twin prime: 67757 and 67759 are both prime.
Primes around the 6749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6746 | 67741 | 8 |
| 6747 | 67751 | 10 |
| 6748 | 67757 | 6 |
| 6749 | 67759 | 2 |
| 6750 | 67763 | 4 |
| 6751 | 67777 | 14 |
| 6752 | 67783 | 6 |
Questions
What is the 6749th prime number?
67759.
Which prime number is 67759?
67759 is the 6749th prime number.
What is the sum of the first 6749 primes?
216,083,496.