What is the 5559th prime number?
The 5559th prime number is 54623. The next prime is 54629 (a gap of 6) and the one before is 54617.
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 5559th one is 54623.
- 2
54623 is prime because no prime up to ā54623 ā 233.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5559th prime is close to 5559 Ć ln(5559) ā 47936, and here it is 54623.
- 4
54623 has no twin: neither 54621 nor 54625 is prime.
Primes around the 5559th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5556 | 54583 | 2 |
| 5557 | 54601 | 18 |
| 5558 | 54617 | 16 |
| 5559 | 54623 | 6 |
| 5560 | 54629 | 6 |
| 5561 | 54631 | 2 |
| 5562 | 54647 | 16 |
Questions
What is the 5559th prime number?
54623.
Which prime number is 54623?
54623 is the 5559th prime number.
What is the sum of the first 5559 primes?
143,304,976.