What is the 6707th prime number?
The 6707th prime number is 67339. The next prime is 67343 (a gap of 4) and the one before is 67307.
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 6707th one is 67339.
- 2
67339 is prime because no prime up to ā67339 ā 259.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6707th prime is close to 6707 Ć ln(6707) ā 59095, and here it is 67339.
- 4
67339 has no twin: neither 67337 nor 67341 is prime.
Primes around the 6707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6704 | 67273 | 2 |
| 6705 | 67289 | 16 |
| 6706 | 67307 | 18 |
| 6707 | 67339 | 32 |
| 6708 | 67343 | 4 |
| 6709 | 67349 | 6 |
| 6710 | 67369 | 20 |
Questions
What is the 6707th prime number?
67339.
Which prime number is 67339?
67339 is the 6707th prime number.
What is the sum of the first 6707 primes?
213,246,596.