What is the 5724th prime number?
The 5724th prime number is 56467. The next prime is 56473 (a gap of 6) and the one before is 56453.
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 5724th one is 56467.
- 2
56467 is prime because no prime up to ā56467 ā 237.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5724th prime is close to 5724 Ć ln(5724) ā 49526, and here it is 56467.
- 4
56467 has no twin: neither 56465 nor 56469 is prime.
Primes around the 5724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5721 | 56437 | 6 |
| 5722 | 56443 | 6 |
| 5723 | 56453 | 10 |
| 5724 | 56467 | 14 |
| 5725 | 56473 | 6 |
| 5726 | 56477 | 4 |
| 5727 | 56479 | 2 |
Questions
What is the 5724th prime number?
56467.
Which prime number is 56467?
56467 is the 5724th prime number.
What is the sum of the first 5724 primes?
152,473,033.