What is the 749th prime number?
The 749th prime number is 5689. The next prime is 5693 (a gap of 4) and the one before is 5683.
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 749th one is 5689.
- 2
5689 is prime because no prime up to ā5689 ā 75.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 749th prime is close to 749 Ć ln(749) ā 4957, and here it is 5689.
- 4
5689 has no twin: neither 5687 nor 5691 is prime.
Primes around the 749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 746 | 5659 | 2 |
| 747 | 5669 | 10 |
| 748 | 5683 | 14 |
| 749 | 5689 | 6 |
| 750 | 5693 | 4 |
| 751 | 5701 | 8 |
| 752 | 5711 | 10 |
Questions
What is the 749th prime number?
5689.
Which prime number is 5689?
5689 is the 749th prime number.
What is the sum of the first 749 primes?
1,976,414.