What is the 5453rd prime number?
The 5453rd prime number is 53503. The next prime is 53507 (a gap of 4) and the one before is 53479.
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 5453rd one is 53503.
- 2
53503 is prime because no prime up to ā53503 ā 231.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5453rd prime is close to 5453 Ć ln(5453) ā 46917, and here it is 53503.
- 4
53503 has no twin: neither 53501 nor 53505 is prime.
Primes around the 5453rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5450 | 53441 | 4 |
| 5451 | 53453 | 12 |
| 5452 | 53479 | 26 |
| 5453 | 53503 | 24 |
| 5454 | 53507 | 4 |
| 5455 | 53527 | 20 |
| 5456 | 53549 | 22 |
Questions
What is the 5453rd prime number?
53503.
Which prime number is 53503?
53503 is the 5453rd prime number.
What is the sum of the first 5453 primes?
137,572,598.