What is the 5583rd prime number?
The 5583rd prime number is 54917. The next prime is 54919 (a gap of 2) and the one before is 54907.
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 5583rd one is 54917.
- 2
54917 is prime because no prime up to ā54917 ā 234.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5583rd prime is close to 5583 Ć ln(5583) ā 48167, and here it is 54917.
- 4
54917 is a twin prime: 54917 and 54919 are both prime.
Primes around the 5583rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5580 | 54877 | 8 |
| 5581 | 54881 | 4 |
| 5582 | 54907 | 26 |
| 5583 | 54917 | 10 |
| 5584 | 54919 | 2 |
| 5585 | 54941 | 22 |
| 5586 | 54949 | 8 |
Questions
What is the 5583rd prime number?
54917.
Which prime number is 54917?
54917 is the 5583rd prime number.
What is the sum of the first 5583 primes?
144,619,392.