What is the 5420th prime number?
The 5420th prime number is 53117. The next prime is 53129 (a gap of 12) and the one before is 53113.
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 5420th one is 53117.
- 2
53117 is prime because no prime up to ā53117 ā 230.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5420th prime is close to 5420 Ć ln(5420) ā 46600, and here it is 53117.
- 4
53117 has no twin: neither 53115 nor 53119 is prime.
Primes around the 5420th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5417 | 53093 | 4 |
| 5418 | 53101 | 8 |
| 5419 | 53113 | 12 |
| 5420 | 53117 | 4 |
| 5421 | 53129 | 12 |
| 5422 | 53147 | 18 |
| 5423 | 53149 | 2 |
Questions
What is the 5420th prime number?
53117.
Which prime number is 53117?
53117 is the 5420th prime number.
What is the sum of the first 5420 primes?
135,813,603.