What is the 5540th prime number?
The 5540th prime number is 54443. The next prime is 54449 (a gap of 6) and the one before is 54437.
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 5540th one is 54443.
- 2
54443 is prime because no prime up to ā54443 ā 233.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5540th prime is close to 5540 Ć ln(5540) ā 47753, and here it is 54443.
- 4
54443 has no twin: neither 54441 nor 54445 is prime.
Primes around the 5540th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5537 | 54419 | 6 |
| 5538 | 54421 | 2 |
| 5539 | 54437 | 16 |
| 5540 | 54443 | 6 |
| 5541 | 54449 | 6 |
| 5542 | 54469 | 20 |
| 5543 | 54493 | 24 |
Questions
What is the 5540th prime number?
54443.
Which prime number is 54443?
54443 is the 5540th prime number.
What is the sum of the first 5540 primes?
142,268,697.