What is the 5419th prime number?
The 5419th prime number is 53113. The next prime is 53117 (a gap of 4) and the one before is 53101.
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 5419th one is 53113.
- 2
53113 is prime because no prime up to ā53113 ā 230.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5419th prime is close to 5419 Ć ln(5419) ā 46591, and here it is 53113.
- 4
53113 has no twin: neither 53111 nor 53115 is prime.
Primes around the 5419th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5416 | 53089 | 2 |
| 5417 | 53093 | 4 |
| 5418 | 53101 | 8 |
| 5419 | 53113 | 12 |
| 5420 | 53117 | 4 |
| 5421 | 53129 | 12 |
| 5422 | 53147 | 18 |
Questions
What is the 5419th prime number?
53113.
Which prime number is 53113?
53113 is the 5419th prime number.
What is the sum of the first 5419 primes?
135,760,486.