What is the 755th prime number?
The 755th prime number is 5741. The next prime is 5743 (a gap of 2) and the one before is 5737.
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 755th one is 5741.
- 2
5741 is prime because no prime up to ā5741 ā 75.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 755th prime is close to 755 Ć ln(755) ā 5003, and here it is 5741.
- 4
5741 is a twin prime: 5741 and 5743 are both prime.
Primes around the 755th
| Position | Prime | Gap from the previous |
|---|---|---|
| 752 | 5711 | 10 |
| 753 | 5717 | 6 |
| 754 | 5737 | 20 |
| 755 | 5741 | 4 |
| 756 | 5743 | 2 |
| 757 | 5749 | 6 |
| 758 | 5779 | 30 |
Questions
What is the 755th prime number?
5741.
Which prime number is 5741?
5741 is the 755th prime number.
What is the sum of the first 755 primes?
2,010,714.