What is the 5422nd prime number?
The 5422nd prime number is 53147. The next prime is 53149 (a gap of 2) and the one before is 53129.
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 5422nd one is 53147.
- 2
53147 is prime because no prime up to ā53147 ā 230.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5422nd prime is close to 5422 Ć ln(5422) ā 46620, and here it is 53147.
- 4
53147 is a twin prime: 53147 and 53149 are both prime.
Primes around the 5422nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5419 | 53113 | 12 |
| 5420 | 53117 | 4 |
| 5421 | 53129 | 12 |
| 5422 | 53147 | 18 |
| 5423 | 53149 | 2 |
| 5424 | 53161 | 12 |
| 5425 | 53171 | 10 |
Questions
What is the 5422nd prime number?
53147.
Which prime number is 53147?
53147 is the 5422nd prime number.
What is the sum of the first 5422 primes?
135,919,879.