What is the 6680th prime number?
The 6680th prime number is 67049. The next prime is 67057 (a gap of 8) and the one before is 67043.
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 6680th one is 67049.
- 2
67049 is prime because no prime up to ā67049 ā 258.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6680th prime is close to 6680 Ć ln(6680) ā 58830, and here it is 67049.
- 4
67049 has no twin: neither 67047 nor 67051 is prime.
Primes around the 6680th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6677 | 67021 | 18 |
| 6678 | 67033 | 12 |
| 6679 | 67043 | 10 |
| 6680 | 67049 | 6 |
| 6681 | 67057 | 8 |
| 6682 | 67061 | 4 |
| 6683 | 67073 | 12 |
Questions
What is the 6680th prime number?
67049.
Which prime number is 67049?
67049 is the 6680th prime number.
What is the sum of the first 6680 primes?
211,432,579.