What is the 4582nd prime number?
The 4582nd prime number is 44027. The next prime is 44029 (a gap of 2) and the one before is 44021.
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 4582nd one is 44027.
- 2
44027 is prime because no prime up to ā44027 ā 209.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4582nd prime is close to 4582 Ć ln(4582) ā 38626, and here it is 44027.
- 4
44027 is a twin prime: 44027 and 44029 are both prime.
Primes around the 4582nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4579 | 43997 | 6 |
| 4580 | 44017 | 20 |
| 4581 | 44021 | 4 |
| 4582 | 44027 | 6 |
| 4583 | 44029 | 2 |
| 4584 | 44041 | 12 |
| 4585 | 44053 | 12 |
Questions
What is the 4582nd prime number?
44027.
Which prime number is 44027?
44027 is the 4582nd prime number.
What is the sum of the first 4582 primes?
95,093,429.