What is the 4511th prime number?
The 4511th prime number is 43201. The next prime is 43207 (a gap of 6) and the one before is 43189.
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 4511th one is 43201.
- 2
43201 is prime because no prime up to ā43201 ā 207.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4511th prime is close to 4511 Ć ln(4511) ā 37957, and here it is 43201.
- 4
43201 has no twin: neither 43199 nor 43203 is prime.
Primes around the 4511th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4508 | 43159 | 8 |
| 4509 | 43177 | 18 |
| 4510 | 43189 | 12 |
| 4511 | 43201 | 12 |
| 4512 | 43207 | 6 |
| 4513 | 43223 | 16 |
| 4514 | 43237 | 14 |
Questions
What is the 4511th prime number?
43201.
Which prime number is 43201?
43201 is the 4511th prime number.
What is the sum of the first 4511 primes?
91,994,882.