What is the 4583rd prime number?
The 4583rd prime number is 44029. The next prime is 44041 (a gap of 12) and the one before is 44027.
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 4583rd one is 44029.
- 2
44029 is prime because no prime up to ā44029 ā 209.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4583rd prime is close to 4583 Ć ln(4583) ā 38635, and here it is 44029.
- 4
44029 is a twin prime: 44027 and 44029 are both prime.
Primes around the 4583rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4580 | 44017 | 20 |
| 4581 | 44021 | 4 |
| 4582 | 44027 | 6 |
| 4583 | 44029 | 2 |
| 4584 | 44041 | 12 |
| 4585 | 44053 | 12 |
| 4586 | 44059 | 6 |
Questions
What is the 4583rd prime number?
44029.
Which prime number is 44029?
44029 is the 4583rd prime number.
What is the sum of the first 4583 primes?
95,137,458.