What is the 6752nd prime number?
The 6752nd prime number is 67783. The next prime is 67789 (a gap of 6) and the one before is 67777.
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 6752nd one is 67783.
- 2
67783 is prime because no prime up to ā67783 ā 260.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6752nd prime is close to 6752 Ć ln(6752) ā 59536, and here it is 67783.
- 4
67783 has no twin: neither 67781 nor 67785 is prime.
Primes around the 6752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6749 | 67759 | 2 |
| 6750 | 67763 | 4 |
| 6751 | 67777 | 14 |
| 6752 | 67783 | 6 |
| 6753 | 67789 | 6 |
| 6754 | 67801 | 12 |
| 6755 | 67807 | 6 |
Questions
What is the 6752nd prime number?
67783.
Which prime number is 67783?
67783 is the 6752nd prime number.
What is the sum of the first 6752 primes?
216,286,819.