What is the 750th prime number?
The 750th prime number is 5693. The next prime is 5701 (a gap of 8) and the one before is 5689.
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 750th one is 5693.
- 2
5693 is prime because no prime up to ā5693 ā 75.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 750th prime is close to 750 Ć ln(750) ā 4965, and here it is 5693.
- 4
5693 has no twin: neither 5691 nor 5695 is prime.
Primes around the 750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 747 | 5669 | 10 |
| 748 | 5683 | 14 |
| 749 | 5689 | 6 |
| 750 | 5693 | 4 |
| 751 | 5701 | 8 |
| 752 | 5711 | 10 |
| 753 | 5717 | 6 |
Questions
What is the 750th prime number?
5693.
Which prime number is 5693?
5693 is the 750th prime number.
What is the sum of the first 750 primes?
1,982,107.