What is the 6750th prime number?
The 6750th prime number is 67763. The next prime is 67777 (a gap of 14) and the one before is 67759.
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 6750th one is 67763.
- 2
67763 is prime because no prime up to ā67763 ā 260.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6750th prime is close to 6750 Ć ln(6750) ā 59517, and here it is 67763.
- 4
67763 has no twin: neither 67761 nor 67765 is prime.
Primes around the 6750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6747 | 67751 | 10 |
| 6748 | 67757 | 6 |
| 6749 | 67759 | 2 |
| 6750 | 67763 | 4 |
| 6751 | 67777 | 14 |
| 6752 | 67783 | 6 |
| 6753 | 67789 | 6 |
Questions
What is the 6750th prime number?
67763.
Which prime number is 67763?
67763 is the 6750th prime number.
What is the sum of the first 6750 primes?
216,151,259.