What is the 4584th prime number?
The 4584th prime number is 44041. The next prime is 44053 (a gap of 12) and the one before is 44029.
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 4584th one is 44041.
- 2
44041 is prime because no prime up to ā44041 ā 209.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4584th prime is close to 4584 Ć ln(4584) ā 38645, and here it is 44041.
- 4
44041 has no twin: neither 44039 nor 44043 is prime.
Primes around the 4584th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4581 | 44021 | 4 |
| 4582 | 44027 | 6 |
| 4583 | 44029 | 2 |
| 4584 | 44041 | 12 |
| 4585 | 44053 | 12 |
| 4586 | 44059 | 6 |
| 4587 | 44071 | 12 |
Questions
What is the 4584th prime number?
44041.
Which prime number is 44041?
44041 is the 4584th prime number.
What is the sum of the first 4584 primes?
95,181,499.