What is the 6710th prime number?
The 6710th prime number is 67369. The next prime is 67391 (a gap of 22) and the one before is 67349.
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 6710th one is 67369.
- 2
67369 is prime because no prime up to ā67369 ā 259.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6710th prime is close to 6710 Ć ln(6710) ā 59124, and here it is 67369.
- 4
67369 has no twin: neither 67367 nor 67371 is prime.
Primes around the 6710th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6707 | 67339 | 32 |
| 6708 | 67343 | 4 |
| 6709 | 67349 | 6 |
| 6710 | 67369 | 20 |
| 6711 | 67391 | 22 |
| 6712 | 67399 | 8 |
| 6713 | 67409 | 10 |
Questions
What is the 6710th prime number?
67369.
Which prime number is 67369?
67369 is the 6710th prime number.
What is the sum of the first 6710 primes?
213,448,657.