What is the 4580th prime number?
The 4580th prime number is 44017. The next prime is 44021 (a gap of 4) and the one before is 43997.
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 4580th one is 44017.
- 2
44017 is prime because no prime up to ā44017 ā 209.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4580th prime is close to 4580 Ć ln(4580) ā 38607, and here it is 44017.
- 4
44017 has no twin: neither 44015 nor 44019 is prime.
Primes around the 4580th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4577 | 43987 | 14 |
| 4578 | 43991 | 4 |
| 4579 | 43997 | 6 |
| 4580 | 44017 | 20 |
| 4581 | 44021 | 4 |
| 4582 | 44027 | 6 |
| 4583 | 44029 | 2 |
Questions
What is the 4580th prime number?
44017.
Which prime number is 44017?
44017 is the 4580th prime number.
What is the sum of the first 4580 primes?
95,005,381.