What is the 4500th prime number?
The 4500th prime number is 43051. The next prime is 43063 (a gap of 12) and the one before is 43049.
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 4500th one is 43051.
- 2
43051 is prime because no prime up to ā43051 ā 207.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4500th prime is close to 4500 Ć ln(4500) ā 37853, and here it is 43051.
- 4
43051 is a twin prime: 43049 and 43051 are both prime.
Primes around the 4500th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4497 | 43019 | 6 |
| 4498 | 43037 | 18 |
| 4499 | 43049 | 12 |
| 4500 | 43051 | 2 |
| 4501 | 43063 | 12 |
| 4502 | 43067 | 4 |
| 4503 | 43093 | 26 |
Questions
What is the 4500th prime number?
43051.
Which prime number is 43051?
43051 is the 4500th prime number.
What is the sum of the first 4500 primes?
91,520,429.