What is the 5454th prime number?
The 5454th prime number is 53507. The next prime is 53527 (a gap of 20) and the one before is 53503.
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 5454th one is 53507.
- 2
53507 is prime because no prime up to ā53507 ā 231.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5454th prime is close to 5454 Ć ln(5454) ā 46927, and here it is 53507.
- 4
53507 has no twin: neither 53505 nor 53509 is prime.
Primes around the 5454th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5451 | 53453 | 12 |
| 5452 | 53479 | 26 |
| 5453 | 53503 | 24 |
| 5454 | 53507 | 4 |
| 5455 | 53527 | 20 |
| 5456 | 53549 | 22 |
| 5457 | 53551 | 2 |
Questions
What is the 5454th prime number?
53507.
Which prime number is 53507?
53507 is the 5454th prime number.
What is the sum of the first 5454 primes?
137,626,105.