What is the 6755th prime number?
The 6755th prime number is 67807. The next prime is 67819 (a gap of 12) and the one before is 67801.
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 6755th one is 67807.
- 2
67807 is prime because no prime up to ā67807 ā 260.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6755th prime is close to 6755 Ć ln(6755) ā 59566, and here it is 67807.
- 4
67807 has no twin: neither 67805 nor 67809 is prime.
Primes around the 6755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6752 | 67783 | 6 |
| 6753 | 67789 | 6 |
| 6754 | 67801 | 12 |
| 6755 | 67807 | 6 |
| 6756 | 67819 | 12 |
| 6757 | 67829 | 10 |
| 6758 | 67843 | 14 |
Questions
What is the 6755th prime number?
67807.
Which prime number is 67807?
67807 is the 6755th prime number.
What is the sum of the first 6755 primes?
216,490,216.