What is the 6754th prime number?
The 6754th prime number is 67801. The next prime is 67807 (a gap of 6) and the one before is 67789.
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 6754th one is 67801.
- 2
67801 is prime because no prime up to ā67801 ā 260.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6754th prime is close to 6754 Ć ln(6754) ā 59556, and here it is 67801.
- 4
67801 has no twin: neither 67799 nor 67803 is prime.
Primes around the 6754th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6751 | 67777 | 14 |
| 6752 | 67783 | 6 |
| 6753 | 67789 | 6 |
| 6754 | 67801 | 12 |
| 6755 | 67807 | 6 |
| 6756 | 67819 | 12 |
| 6757 | 67829 | 10 |
Questions
What is the 6754th prime number?
67801.
Which prime number is 67801?
67801 is the 6754th prime number.
What is the sum of the first 6754 primes?
216,422,409.