What is the 5743rd prime number?
The 5743rd prime number is 56633. The next prime is 56659 (a gap of 26) and the one before is 56629.
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 5743rd one is 56633.
- 2
56633 is prime because no prime up to ā56633 ā 237.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5743rd prime is close to 5743 Ć ln(5743) ā 49710, and here it is 56633.
- 4
56633 has no twin: neither 56631 nor 56635 is prime.
Primes around the 5743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5740 | 56599 | 2 |
| 5741 | 56611 | 12 |
| 5742 | 56629 | 18 |
| 5743 | 56633 | 4 |
| 5744 | 56659 | 26 |
| 5745 | 56663 | 4 |
| 5746 | 56671 | 8 |
Questions
What is the 5743rd prime number?
56633.
Which prime number is 56633?
56633 is the 5743rd prime number.
What is the sum of the first 5743 primes?
153,547,346.