What is the 5533rd prime number?
The 5533rd prime number is 54401. The next prime is 54403 (a gap of 2) and the one before is 54377.
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 5533rd one is 54401.
- 2
54401 is prime because no prime up to ā54401 ā 233.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5533rd prime is close to 5533 Ć ln(5533) ā 47686, and here it is 54401.
- 4
54401 is a twin prime: 54401 and 54403 are both prime.
Primes around the 5533rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5530 | 54367 | 6 |
| 5531 | 54371 | 4 |
| 5532 | 54377 | 6 |
| 5533 | 54401 | 24 |
| 5534 | 54403 | 2 |
| 5535 | 54409 | 6 |
| 5536 | 54413 | 4 |
Questions
What is the 5533rd prime number?
54401.
Which prime number is 54401?
54401 is the 5533rd prime number.
What is the sum of the first 5533 primes?
141,887,752.