What is the 5421st prime number?
The 5421st prime number is 53129. The next prime is 53147 (a gap of 18) and the one before is 53117.
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 5421st one is 53129.
- 2
53129 is prime because no prime up to ā53129 ā 230.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5421st prime is close to 5421 Ć ln(5421) ā 46610, and here it is 53129.
- 4
53129 has no twin: neither 53127 nor 53131 is prime.
Primes around the 5421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5418 | 53101 | 8 |
| 5419 | 53113 | 12 |
| 5420 | 53117 | 4 |
| 5421 | 53129 | 12 |
| 5422 | 53147 | 18 |
| 5423 | 53149 | 2 |
| 5424 | 53161 | 12 |
Questions
What is the 5421st prime number?
53129.
Which prime number is 53129?
53129 is the 5421st prime number.
What is the sum of the first 5421 primes?
135,866,732.