What is the 5584th prime number?
The 5584th prime number is 54919. The next prime is 54941 (a gap of 22) and the one before is 54917.
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 5584th one is 54919.
- 2
54919 is prime because no prime up to ā54919 ā 234.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5584th prime is close to 5584 Ć ln(5584) ā 48177, and here it is 54919.
- 4
54919 is a twin prime: 54917 and 54919 are both prime.
Primes around the 5584th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5581 | 54881 | 4 |
| 5582 | 54907 | 26 |
| 5583 | 54917 | 10 |
| 5584 | 54919 | 2 |
| 5585 | 54941 | 22 |
| 5586 | 54949 | 8 |
| 5587 | 54959 | 10 |
Questions
What is the 5584th prime number?
54919.
Which prime number is 54919?
54919 is the 5584th prime number.
What is the sum of the first 5584 primes?
144,674,311.