What is the 5579th prime number?
The 5579th prime number is 54869. The next prime is 54877 (a gap of 8) and the one before is 54851.
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 5579th one is 54869.
- 2
54869 is prime because no prime up to ā54869 ā 234.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5579th prime is close to 5579 Ć ln(5579) ā 48129, and here it is 54869.
- 4
54869 has no twin: neither 54867 nor 54871 is prime.
Primes around the 5579th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5576 | 54829 | 30 |
| 5577 | 54833 | 4 |
| 5578 | 54851 | 18 |
| 5579 | 54869 | 18 |
| 5580 | 54877 | 8 |
| 5581 | 54881 | 4 |
| 5582 | 54907 | 26 |
Questions
What is the 5579th prime number?
54869.
Which prime number is 54869?
54869 is the 5579th prime number.
What is the sum of the first 5579 primes?
144,399,810.