What is the 5733rd prime number?
The 5733rd prime number is 56527. The next prime is 56531 (a gap of 4) and the one before is 56519.
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 5733rd one is 56527.
- 2
56527 is prime because no prime up to ā56527 ā 237.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5733rd prime is close to 5733 Ć ln(5733) ā 49613, and here it is 56527.
- 4
56527 has no twin: neither 56525 nor 56529 is prime.
Primes around the 5733rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5730 | 56503 | 2 |
| 5731 | 56509 | 6 |
| 5732 | 56519 | 10 |
| 5733 | 56527 | 8 |
| 5734 | 56531 | 4 |
| 5735 | 56533 | 2 |
| 5736 | 56543 | 10 |
Questions
What is the 5733rd prime number?
56527.
Which prime number is 56527?
56527 is the 5733rd prime number.
What is the sum of the first 5733 primes?
152,981,510.