What is the 6682nd prime number?
The 6682nd prime number is 67061. The next prime is 67073 (a gap of 12) and the one before is 67057.
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 6682nd one is 67061.
- 2
67061 is prime because no prime up to ā67061 ā 258.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6682nd prime is close to 6682 Ć ln(6682) ā 58850, and here it is 67061.
- 4
67061 has no twin: neither 67059 nor 67063 is prime.
Primes around the 6682nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6679 | 67043 | 10 |
| 6680 | 67049 | 6 |
| 6681 | 67057 | 8 |
| 6682 | 67061 | 4 |
| 6683 | 67073 | 12 |
| 6684 | 67079 | 6 |
| 6685 | 67103 | 24 |
Questions
What is the 6682nd prime number?
67061.
Which prime number is 67061?
67061 is the 6682nd prime number.
What is the sum of the first 6682 primes?
211,566,697.