What is the 5580th prime number?
The 5580th prime number is 54877. The next prime is 54881 (a gap of 4) and the one before is 54869.
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 5580th one is 54877.
- 2
54877 is prime because no prime up to ā54877 ā 234.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5580th prime is close to 5580 Ć ln(5580) ā 48138, and here it is 54877.
- 4
54877 has no twin: neither 54875 nor 54879 is prime.
Primes around the 5580th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5577 | 54833 | 4 |
| 5578 | 54851 | 18 |
| 5579 | 54869 | 18 |
| 5580 | 54877 | 8 |
| 5581 | 54881 | 4 |
| 5582 | 54907 | 26 |
| 5583 | 54917 | 10 |
Questions
What is the 5580th prime number?
54877.
Which prime number is 54877?
54877 is the 5580th prime number.
What is the sum of the first 5580 primes?
144,454,687.