What is the 5543rd prime number?
The 5543rd prime number is 54493. The next prime is 54497 (a gap of 4) and the one before is 54469.
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 5543rd one is 54493.
- 2
54493 is prime because no prime up to ā54493 ā 233.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5543rd prime is close to 5543 Ć ln(5543) ā 47782, and here it is 54493.
- 4
54493 has no twin: neither 54491 nor 54495 is prime.
Primes around the 5543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5540 | 54443 | 6 |
| 5541 | 54449 | 6 |
| 5542 | 54469 | 20 |
| 5543 | 54493 | 24 |
| 5544 | 54497 | 4 |
| 5545 | 54499 | 2 |
| 5546 | 54503 | 4 |
Questions
What is the 5543rd prime number?
54493.
Which prime number is 54493?
54493 is the 5543rd prime number.
What is the sum of the first 5543 primes?
142,432,108.