What is the 5425th prime number?
The 5425th prime number is 53171. The next prime is 53173 (a gap of 2) and the one before is 53161.
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 5425th one is 53171.
- 2
53171 is prime because no prime up to ā53171 ā 230.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5425th prime is close to 5425 Ć ln(5425) ā 46648, and here it is 53171.
- 4
53171 is a twin prime: 53171 and 53173 are both prime.
Primes around the 5425th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5422 | 53147 | 18 |
| 5423 | 53149 | 2 |
| 5424 | 53161 | 12 |
| 5425 | 53171 | 10 |
| 5426 | 53173 | 2 |
| 5427 | 53189 | 16 |
| 5428 | 53197 | 8 |
Questions
What is the 5425th prime number?
53171.
Which prime number is 53171?
53171 is the 5425th prime number.
What is the sum of the first 5425 primes?
136,079,360.