What is the 5538th prime number?
The 5538th prime number is 54421. The next prime is 54437 (a gap of 16) and the one before is 54419.
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 5538th one is 54421.
- 2
54421 is prime because no prime up to ā54421 ā 233.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5538th prime is close to 5538 Ć ln(5538) ā 47734, and here it is 54421.
- 4
54421 is a twin prime: 54419 and 54421 are both prime.
Primes around the 5538th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5535 | 54409 | 6 |
| 5536 | 54413 | 4 |
| 5537 | 54419 | 6 |
| 5538 | 54421 | 2 |
| 5539 | 54437 | 16 |
| 5540 | 54443 | 6 |
| 5541 | 54449 | 6 |
Questions
What is the 5538th prime number?
54421.
Which prime number is 54421?
54421 is the 5538th prime number.
What is the sum of the first 5538 primes?
142,159,817.