What is the 5582nd prime number?
The 5582nd prime number is 54907. The next prime is 54917 (a gap of 10) and the one before is 54881.
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 5582nd one is 54907.
- 2
54907 is prime because no prime up to ā54907 ā 234.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5582nd prime is close to 5582 Ć ln(5582) ā 48158, and here it is 54907.
- 4
54907 has no twin: neither 54905 nor 54909 is prime.
Primes around the 5582nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5579 | 54869 | 18 |
| 5580 | 54877 | 8 |
| 5581 | 54881 | 4 |
| 5582 | 54907 | 26 |
| 5583 | 54917 | 10 |
| 5584 | 54919 | 2 |
| 5585 | 54941 | 22 |
Questions
What is the 5582nd prime number?
54907.
Which prime number is 54907?
54907 is the 5582nd prime number.
What is the sum of the first 5582 primes?
144,564,475.