What is the 6713th prime number?
The 6713th prime number is 67409. The next prime is 67411 (a gap of 2) and the one before is 67399.
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 6713th one is 67409.
- 2
67409 is prime because no prime up to ā67409 ā 259.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6713th prime is close to 6713 Ć ln(6713) ā 59154, and here it is 67409.
- 4
67409 is a twin prime: 67409 and 67411 are both prime.
Primes around the 6713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6710 | 67369 | 20 |
| 6711 | 67391 | 22 |
| 6712 | 67399 | 8 |
| 6713 | 67409 | 10 |
| 6714 | 67411 | 2 |
| 6715 | 67421 | 10 |
| 6716 | 67427 | 6 |
Questions
What is the 6713th prime number?
67409.
Which prime number is 67409?
67409 is the 6713th prime number.
What is the sum of the first 6713 primes?
213,650,856.