What is the 6712th prime number?
The 6712th prime number is 67399. The next prime is 67409 (a gap of 10) and the one before is 67391.
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 6712th one is 67399.
- 2
67399 is prime because no prime up to ā67399 ā 259.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6712th prime is close to 6712 Ć ln(6712) ā 59144, and here it is 67399.
- 4
67399 has no twin: neither 67397 nor 67401 is prime.
Primes around the 6712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6709 | 67349 | 6 |
| 6710 | 67369 | 20 |
| 6711 | 67391 | 22 |
| 6712 | 67399 | 8 |
| 6713 | 67409 | 10 |
| 6714 | 67411 | 2 |
| 6715 | 67421 | 10 |
Questions
What is the 6712th prime number?
67399.
Which prime number is 67399?
67399 is the 6712th prime number.
What is the sum of the first 6712 primes?
213,583,447.