What is the 5452nd prime number?
The 5452nd prime number is 53479. The next prime is 53503 (a gap of 24) and the one before is 53453.
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 5452nd one is 53479.
- 2
53479 is prime because no prime up to ā53479 ā 231.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5452nd prime is close to 5452 Ć ln(5452) ā 46908, and here it is 53479.
- 4
53479 has no twin: neither 53477 nor 53481 is prime.
Primes around the 5452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5449 | 53437 | 18 |
| 5450 | 53441 | 4 |
| 5451 | 53453 | 12 |
| 5452 | 53479 | 26 |
| 5453 | 53503 | 24 |
| 5454 | 53507 | 4 |
| 5455 | 53527 | 20 |
Questions
What is the 5452nd prime number?
53479.
Which prime number is 53479?
53479 is the 5452nd prime number.
What is the sum of the first 5452 primes?
137,519,095.