What is the 5734th prime number?
The 5734th prime number is 56531. The next prime is 56533 (a gap of 2) and the one before is 56527.
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 5734th one is 56531.
- 2
56531 is prime because no prime up to ā56531 ā 237.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5734th prime is close to 5734 Ć ln(5734) ā 49623, and here it is 56531.
- 4
56531 is a twin prime: 56531 and 56533 are both prime.
Primes around the 5734th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5731 | 56509 | 6 |
| 5732 | 56519 | 10 |
| 5733 | 56527 | 8 |
| 5734 | 56531 | 4 |
| 5735 | 56533 | 2 |
| 5736 | 56543 | 10 |
| 5737 | 56569 | 26 |
Questions
What is the 5734th prime number?
56531.
Which prime number is 56531?
56531 is the 5734th prime number.
What is the sum of the first 5734 primes?
153,038,041.