What is the 4501st prime number?
The 4501st prime number is 43063. The next prime is 43067 (a gap of 4) and the one before is 43051.
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 4501st one is 43063.
- 2
43063 is prime because no prime up to ā43063 ā 207.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4501st prime is close to 4501 Ć ln(4501) ā 37863, and here it is 43063.
- 4
43063 has no twin: neither 43061 nor 43065 is prime.
Primes around the 4501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4498 | 43037 | 18 |
| 4499 | 43049 | 12 |
| 4500 | 43051 | 2 |
| 4501 | 43063 | 12 |
| 4502 | 43067 | 4 |
| 4503 | 43093 | 26 |
| 4504 | 43103 | 10 |
Questions
What is the 4501st prime number?
43063.
Which prime number is 43063?
43063 is the 4501st prime number.
What is the sum of the first 4501 primes?
91,563,492.