What is the 5723rd prime number?
The 5723rd prime number is 56453. The next prime is 56467 (a gap of 14) and the one before is 56443.
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 5723rd one is 56453.
- 2
56453 is prime because no prime up to ā56453 ā 237.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5723rd prime is close to 5723 Ć ln(5723) ā 49517, and here it is 56453.
- 4
56453 has no twin: neither 56451 nor 56455 is prime.
Primes around the 5723rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5720 | 56431 | 14 |
| 5721 | 56437 | 6 |
| 5722 | 56443 | 6 |
| 5723 | 56453 | 10 |
| 5724 | 56467 | 14 |
| 5725 | 56473 | 6 |
| 5726 | 56477 | 4 |
Questions
What is the 5723rd prime number?
56453.
Which prime number is 56453?
56453 is the 5723rd prime number.
What is the sum of the first 5723 primes?
152,416,566.