What is the 756th prime number?
The 756th prime number is 5743. The next prime is 5749 (a gap of 6) and the one before is 5741.
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 756th one is 5743.
- 2
5743 is prime because no prime up to ā5743 ā 75.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 756th prime is close to 756 Ć ln(756) ā 5011, and here it is 5743.
- 4
5743 is a twin prime: 5741 and 5743 are both prime.
Primes around the 756th
| Position | Prime | Gap from the previous |
|---|---|---|
| 753 | 5717 | 6 |
| 754 | 5737 | 20 |
| 755 | 5741 | 4 |
| 756 | 5743 | 2 |
| 757 | 5749 | 6 |
| 758 | 5779 | 30 |
| 759 | 5783 | 4 |
Questions
What is the 756th prime number?
5743.
Which prime number is 5743?
5743 is the 756th prime number.
What is the sum of the first 756 primes?
2,016,457.