What is the 4506th prime number?
The 4506th prime number is 43133. The next prime is 43151 (a gap of 18) and the one before is 43117.
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 4506th one is 43133.
- 2
43133 is prime because no prime up to ā43133 ā 207.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4506th prime is close to 4506 Ć ln(4506) ā 37910, and here it is 43133.
- 4
43133 has no twin: neither 43131 nor 43135 is prime.
Primes around the 4506th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4503 | 43093 | 26 |
| 4504 | 43103 | 10 |
| 4505 | 43117 | 14 |
| 4506 | 43133 | 16 |
| 4507 | 43151 | 18 |
| 4508 | 43159 | 8 |
| 4509 | 43177 | 18 |
Questions
What is the 4506th prime number?
43133.
Which prime number is 43133?
43133 is the 4506th prime number.
What is the sum of the first 4506 primes?
91,779,005.