What is the 6684th prime number?
The 6684th prime number is 67079. The next prime is 67103 (a gap of 24) and the one before is 67073.
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 6684th one is 67079.
- 2
67079 is prime because no prime up to ā67079 ā 259.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6684th prime is close to 6684 Ć ln(6684) ā 58869, and here it is 67079.
- 4
67079 has no twin: neither 67077 nor 67081 is prime.
Primes around the 6684th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6681 | 67057 | 8 |
| 6682 | 67061 | 4 |
| 6683 | 67073 | 12 |
| 6684 | 67079 | 6 |
| 6685 | 67103 | 24 |
| 6686 | 67121 | 18 |
| 6687 | 67129 | 8 |
Questions
What is the 6684th prime number?
67079.
Which prime number is 67079?
67079 is the 6684th prime number.
What is the sum of the first 6684 primes?
211,700,849.