What is the 6681st prime number?
The 6681st prime number is 67057. The next prime is 67061 (a gap of 4) and the one before is 67049.
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 6681st one is 67057.
- 2
67057 is prime because no prime up to ā67057 ā 258.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6681st prime is close to 6681 Ć ln(6681) ā 58840, and here it is 67057.
- 4
67057 has no twin: neither 67055 nor 67059 is prime.
Primes around the 6681st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6678 | 67033 | 12 |
| 6679 | 67043 | 10 |
| 6680 | 67049 | 6 |
| 6681 | 67057 | 8 |
| 6682 | 67061 | 4 |
| 6683 | 67073 | 12 |
| 6684 | 67079 | 6 |
Questions
What is the 6681st prime number?
67057.
Which prime number is 67057?
67057 is the 6681st prime number.
What is the sum of the first 6681 primes?
211,499,636.