What is the 6709th prime number?
The 6709th prime number is 67349. The next prime is 67369 (a gap of 20) and the one before is 67343.
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 6709th one is 67349.
- 2
67349 is prime because no prime up to ā67349 ā 259.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6709th prime is close to 6709 Ć ln(6709) ā 59114, and here it is 67349.
- 4
67349 has no twin: neither 67347 nor 67351 is prime.
Primes around the 6709th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6706 | 67307 | 18 |
| 6707 | 67339 | 32 |
| 6708 | 67343 | 4 |
| 6709 | 67349 | 6 |
| 6710 | 67369 | 20 |
| 6711 | 67391 | 22 |
| 6712 | 67399 | 8 |
Questions
What is the 6709th prime number?
67349.
Which prime number is 67349?
67349 is the 6709th prime number.
What is the sum of the first 6709 primes?
213,381,288.