What is the 6748th prime number?
The 6748th prime number is 67757. The next prime is 67759 (a gap of 2) and the one before is 67751.
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 6748th one is 67757.
- 2
67757 is prime because no prime up to ā67757 ā 260.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6748th prime is close to 6748 Ć ln(6748) ā 59497, and here it is 67757.
- 4
67757 is a twin prime: 67757 and 67759 are both prime.
Primes around the 6748th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6745 | 67733 | 10 |
| 6746 | 67741 | 8 |
| 6747 | 67751 | 10 |
| 6748 | 67757 | 6 |
| 6749 | 67759 | 2 |
| 6750 | 67763 | 4 |
| 6751 | 67777 | 14 |
Questions
What is the 6748th prime number?
67757.
Which prime number is 67757?
67757 is the 6748th prime number.
What is the sum of the first 6748 primes?
216,015,737.