What is the 6753rd prime number?
The 6753rd prime number is 67789. The next prime is 67801 (a gap of 12) and the one before is 67783.
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 6753rd one is 67789.
- 2
67789 is prime because no prime up to ā67789 ā 260.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6753rd prime is close to 6753 Ć ln(6753) ā 59546, and here it is 67789.
- 4
67789 has no twin: neither 67787 nor 67791 is prime.
Primes around the 6753rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6750 | 67763 | 4 |
| 6751 | 67777 | 14 |
| 6752 | 67783 | 6 |
| 6753 | 67789 | 6 |
| 6754 | 67801 | 12 |
| 6755 | 67807 | 6 |
| 6756 | 67819 | 12 |
Questions
What is the 6753rd prime number?
67789.
Which prime number is 67789?
67789 is the 6753rd prime number.
What is the sum of the first 6753 primes?
216,354,608.