What is the 747th prime number?
The 747th prime number is 5669. The next prime is 5683 (a gap of 14) and the one before is 5659.
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 747th one is 5669.
- 2
5669 is prime because no prime up to ā5669 ā 75.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 747th prime is close to 747 Ć ln(747) ā 4942, and here it is 5669.
- 4
5669 has no twin: neither 5667 nor 5671 is prime.
Primes around the 747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 744 | 5653 | 2 |
| 745 | 5657 | 4 |
| 746 | 5659 | 2 |
| 747 | 5669 | 10 |
| 748 | 5683 | 14 |
| 749 | 5689 | 6 |
| 750 | 5693 | 4 |
Questions
What is the 747th prime number?
5669.
Which prime number is 5669?
5669 is the 747th prime number.
What is the sum of the first 747 primes?
1,965,042.