What is the 6756th prime number?
The 6756th prime number is 67819. The next prime is 67829 (a gap of 10) and the one before is 67807.
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 6756th one is 67819.
- 2
67819 is prime because no prime up to ā67819 ā 260.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6756th prime is close to 6756 Ć ln(6756) ā 59576, and here it is 67819.
- 4
67819 has no twin: neither 67817 nor 67821 is prime.
Primes around the 6756th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6753 | 67789 | 6 |
| 6754 | 67801 | 12 |
| 6755 | 67807 | 6 |
| 6756 | 67819 | 12 |
| 6757 | 67829 | 10 |
| 6758 | 67843 | 14 |
| 6759 | 67853 | 10 |
Questions
What is the 6756th prime number?
67819.
Which prime number is 67819?
67819 is the 6756th prime number.
What is the sum of the first 6756 primes?
216,558,035.