What is the 754th prime number?
The 754th prime number is 5737. The next prime is 5741 (a gap of 4) and the one before is 5717.
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 754th one is 5737.
- 2
5737 is prime because no prime up to ā5737 ā 75.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 754th prime is close to 754 Ć ln(754) ā 4996, and here it is 5737.
- 4
5737 has no twin: neither 5735 nor 5739 is prime.
Primes around the 754th
| Position | Prime | Gap from the previous |
|---|---|---|
| 751 | 5701 | 8 |
| 752 | 5711 | 10 |
| 753 | 5717 | 6 |
| 754 | 5737 | 20 |
| 755 | 5741 | 4 |
| 756 | 5743 | 2 |
| 757 | 5749 | 6 |
Questions
What is the 754th prime number?
5737.
Which prime number is 5737?
5737 is the 754th prime number.
What is the sum of the first 754 primes?
2,004,973.