What is the 5451st prime number?
The 5451st prime number is 53453. The next prime is 53479 (a gap of 26) and the one before is 53441.
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 5451st one is 53453.
- 2
53453 is prime because no prime up to ā53453 ā 231.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5451st prime is close to 5451 Ć ln(5451) ā 46898, and here it is 53453.
- 4
53453 has no twin: neither 53451 nor 53455 is prime.
Primes around the 5451st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5448 | 53419 | 8 |
| 5449 | 53437 | 18 |
| 5450 | 53441 | 4 |
| 5451 | 53453 | 12 |
| 5452 | 53479 | 26 |
| 5453 | 53503 | 24 |
| 5454 | 53507 | 4 |
Questions
What is the 5451st prime number?
53453.
Which prime number is 53453?
53453 is the 5451st prime number.
What is the sum of the first 5451 primes?
137,465,616.