What is the 5553rd prime number?
The 5553rd prime number is 54563. The next prime is 54577 (a gap of 14) and the one before is 54559.
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 5553rd one is 54563.
- 2
54563 is prime because no prime up to ā54563 ā 233.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5553rd prime is close to 5553 Ć ln(5553) ā 47878, and here it is 54563.
- 4
54563 has no twin: neither 54561 nor 54565 is prime.
Primes around the 5553rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5550 | 54541 | 2 |
| 5551 | 54547 | 6 |
| 5552 | 54559 | 12 |
| 5553 | 54563 | 4 |
| 5554 | 54577 | 14 |
| 5555 | 54581 | 4 |
| 5556 | 54583 | 2 |
Questions
What is the 5553rd prime number?
54563.
Which prime number is 54563?
54563 is the 5553rd prime number.
What is the sum of the first 5553 primes?
142,977,394.