What is the 5493rd prime number?
The 5493rd prime number is 53917. The next prime is 53923 (a gap of 6) and the one before is 53899.
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 5493rd one is 53917.
- 2
53917 is prime because no prime up to ā53917 ā 232.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5493rd prime is close to 5493 Ć ln(5493) ā 47301, and here it is 53917.
- 4
53917 has no twin: neither 53915 nor 53919 is prime.
Primes around the 5493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5490 | 53891 | 4 |
| 5491 | 53897 | 6 |
| 5492 | 53899 | 2 |
| 5493 | 53917 | 18 |
| 5494 | 53923 | 6 |
| 5495 | 53927 | 4 |
| 5496 | 53939 | 12 |
Questions
What is the 5493rd prime number?
53917.
Which prime number is 53917?
53917 is the 5493rd prime number.
What is the sum of the first 5493 primes?
139,721,278.