What is the 6734th prime number?
The 6734th prime number is 67579. The next prime is 67589 (a gap of 10) and the one before is 67577.
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 6734th one is 67579.
- 2
67579 is prime because no prime up to ā67579 ā 259.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6734th prime is close to 6734 Ć ln(6734) ā 59360, and here it is 67579.
- 4
67579 is a twin prime: 67577 and 67579 are both prime.
Primes around the 6734th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6731 | 67559 | 12 |
| 6732 | 67567 | 8 |
| 6733 | 67577 | 10 |
| 6734 | 67579 | 2 |
| 6735 | 67589 | 10 |
| 6736 | 67601 | 12 |
| 6737 | 67607 | 6 |
Questions
What is the 6734th prime number?
67579.
Which prime number is 67579?
67579 is the 6734th prime number.
What is the sum of the first 6734 primes?
215,068,247.