What is the 4502nd prime number?
The 4502nd prime number is 43067. The next prime is 43093 (a gap of 26) and the one before is 43063.
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 4502nd one is 43067.
- 2
43067 is prime because no prime up to ā43067 ā 207.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4502nd prime is close to 4502 Ć ln(4502) ā 37872, and here it is 43067.
- 4
43067 has no twin: neither 43065 nor 43069 is prime.
Primes around the 4502nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4499 | 43049 | 12 |
| 4500 | 43051 | 2 |
| 4501 | 43063 | 12 |
| 4502 | 43067 | 4 |
| 4503 | 43093 | 26 |
| 4504 | 43103 | 10 |
| 4505 | 43117 | 14 |
Questions
What is the 4502nd prime number?
43067.
Which prime number is 43067?
43067 is the 4502nd prime number.
What is the sum of the first 4502 primes?
91,606,559.