What is the 5523rd prime number?
The 5523rd prime number is 54293. The next prime is 54311 (a gap of 18) and the one before is 54287.
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 5523rd one is 54293.
- 2
54293 is prime because no prime up to ā54293 ā 233.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5523rd prime is close to 5523 Ć ln(5523) ā 47590, and here it is 54293.
- 4
54293 has no twin: neither 54291 nor 54295 is prime.
Primes around the 5523rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5520 | 54269 | 18 |
| 5521 | 54277 | 8 |
| 5522 | 54287 | 10 |
| 5523 | 54293 | 6 |
| 5524 | 54311 | 18 |
| 5525 | 54319 | 8 |
| 5526 | 54323 | 4 |
Questions
What is the 5523rd prime number?
54293.
Which prime number is 54293?
54293 is the 5523rd prime number.
What is the sum of the first 5523 primes?
141,344,244.