What is the 5424th prime number?
The 5424th prime number is 53161. The next prime is 53171 (a gap of 10) and the one before is 53149.
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 5424th one is 53161.
- 2
53161 is prime because no prime up to ā53161 ā 230.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5424th prime is close to 5424 Ć ln(5424) ā 46639, and here it is 53161.
- 4
53161 has no twin: neither 53159 nor 53163 is prime.
Primes around the 5424th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5421 | 53129 | 12 |
| 5422 | 53147 | 18 |
| 5423 | 53149 | 2 |
| 5424 | 53161 | 12 |
| 5425 | 53171 | 10 |
| 5426 | 53173 | 2 |
| 5427 | 53189 | 16 |
Questions
What is the 5424th prime number?
53161.
Which prime number is 53161?
53161 is the 5424th prime number.
What is the sum of the first 5424 primes?
136,026,189.