What is the 6747th prime number?
The 6747th prime number is 67751. The next prime is 67757 (a gap of 6) and the one before is 67741.
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 6747th one is 67751.
- 2
67751 is prime because no prime up to ā67751 ā 260.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6747th prime is close to 6747 Ć ln(6747) ā 59487, and here it is 67751.
- 4
67751 has no twin: neither 67749 nor 67753 is prime.
Primes around the 6747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6744 | 67723 | 14 |
| 6745 | 67733 | 10 |
| 6746 | 67741 | 8 |
| 6747 | 67751 | 10 |
| 6748 | 67757 | 6 |
| 6749 | 67759 | 2 |
| 6750 | 67763 | 4 |
Questions
What is the 6747th prime number?
67751.
Which prime number is 67751?
67751 is the 6747th prime number.
What is the sum of the first 6747 primes?
215,947,980.