What is the 4581st prime number?
The 4581st prime number is 44021. The next prime is 44027 (a gap of 6) and the one before is 44017.
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 4581st one is 44021.
- 2
44021 is prime because no prime up to ā44021 ā 209.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4581st prime is close to 4581 Ć ln(4581) ā 38616, and here it is 44021.
- 4
44021 has no twin: neither 44019 nor 44023 is prime.
Primes around the 4581st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4578 | 43991 | 4 |
| 4579 | 43997 | 6 |
| 4580 | 44017 | 20 |
| 4581 | 44021 | 4 |
| 4582 | 44027 | 6 |
| 4583 | 44029 | 2 |
| 4584 | 44041 | 12 |
Questions
What is the 4581st prime number?
44021.
Which prime number is 44021?
44021 is the 4581st prime number.
What is the sum of the first 4581 primes?
95,049,402.