What is the 5426th prime number?
The 5426th prime number is 53173. The next prime is 53189 (a gap of 16) and the one before is 53171.
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 5426th one is 53173.
- 2
53173 is prime because no prime up to ā53173 ā 230.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5426th prime is close to 5426 Ć ln(5426) ā 46658, and here it is 53173.
- 4
53173 is a twin prime: 53171 and 53173 are both prime.
Primes around the 5426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5423 | 53149 | 2 |
| 5424 | 53161 | 12 |
| 5425 | 53171 | 10 |
| 5426 | 53173 | 2 |
| 5427 | 53189 | 16 |
| 5428 | 53197 | 8 |
| 5429 | 53201 | 4 |
Questions
What is the 5426th prime number?
53173.
Which prime number is 53173?
53173 is the 5426th prime number.
What is the sum of the first 5426 primes?
136,132,533.