What is the 5542nd prime number?
The 5542nd prime number is 54469. The next prime is 54493 (a gap of 24) and the one before is 54449.
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 5542nd one is 54469.
- 2
54469 is prime because no prime up to ā54469 ā 233.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5542nd prime is close to 5542 Ć ln(5542) ā 47773, and here it is 54469.
- 4
54469 has no twin: neither 54467 nor 54471 is prime.
Primes around the 5542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5539 | 54437 | 16 |
| 5540 | 54443 | 6 |
| 5541 | 54449 | 6 |
| 5542 | 54469 | 20 |
| 5543 | 54493 | 24 |
| 5544 | 54497 | 4 |
| 5545 | 54499 | 2 |
Questions
What is the 5542nd prime number?
54469.
Which prime number is 54469?
54469 is the 5542nd prime number.
What is the sum of the first 5542 primes?
142,377,615.