What is the 4509th prime number?
The 4509th prime number is 43177. The next prime is 43189 (a gap of 12) and the one before is 43159.
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 4509th one is 43177.
- 2
43177 is prime because no prime up to ā43177 ā 207.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4509th prime is close to 4509 Ć ln(4509) ā 37938, and here it is 43177.
- 4
43177 has no twin: neither 43175 nor 43179 is prime.
Primes around the 4509th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4506 | 43133 | 16 |
| 4507 | 43151 | 18 |
| 4508 | 43159 | 8 |
| 4509 | 43177 | 18 |
| 4510 | 43189 | 12 |
| 4511 | 43201 | 12 |
| 4512 | 43207 | 6 |
Questions
What is the 4509th prime number?
43177.
Which prime number is 43177?
43177 is the 4509th prime number.
What is the sum of the first 4509 primes?
91,908,492.