What is the 6751st prime number?
The 6751st prime number is 67777. The next prime is 67783 (a gap of 6) and the one before is 67763.
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 6751st one is 67777.
- 2
67777 is prime because no prime up to ā67777 ā 260.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6751st prime is close to 6751 Ć ln(6751) ā 59527, and here it is 67777.
- 4
67777 has no twin: neither 67775 nor 67779 is prime.
Primes around the 6751st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6748 | 67757 | 6 |
| 6749 | 67759 | 2 |
| 6750 | 67763 | 4 |
| 6751 | 67777 | 14 |
| 6752 | 67783 | 6 |
| 6753 | 67789 | 6 |
| 6754 | 67801 | 12 |
Questions
What is the 6751st prime number?
67777.
Which prime number is 67777?
67777 is the 6751st prime number.
What is the sum of the first 6751 primes?
216,219,036.