What is the 5563rd prime number?
The 5563rd prime number is 54667. The next prime is 54673 (a gap of 6) and the one before is 54647.
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 5563rd one is 54667.
- 2
54667 is prime because no prime up to ā54667 ā 233.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5563rd prime is close to 5563 Ć ln(5563) ā 47975, and here it is 54667.
- 4
54667 has no twin: neither 54665 nor 54669 is prime.
Primes around the 5563rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5560 | 54629 | 6 |
| 5561 | 54631 | 2 |
| 5562 | 54647 | 16 |
| 5563 | 54667 | 20 |
| 5564 | 54673 | 6 |
| 5565 | 54679 | 6 |
| 5566 | 54709 | 30 |
Questions
What is the 5563rd prime number?
54667.
Which prime number is 54667?
54667 is the 5563rd prime number.
What is the sum of the first 5563 primes?
143,523,550.