What is the 4505th prime number?
The 4505th prime number is 43117. The next prime is 43133 (a gap of 16) and the one before is 43103.
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 4505th one is 43117.
- 2
43117 is prime because no prime up to ā43117 ā 207.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4505th prime is close to 4505 Ć ln(4505) ā 37900, and here it is 43117.
- 4
43117 has no twin: neither 43115 nor 43119 is prime.
Primes around the 4505th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4502 | 43067 | 4 |
| 4503 | 43093 | 26 |
| 4504 | 43103 | 10 |
| 4505 | 43117 | 14 |
| 4506 | 43133 | 16 |
| 4507 | 43151 | 18 |
| 4508 | 43159 | 8 |
Questions
What is the 4505th prime number?
43117.
Which prime number is 43117?
43117 is the 4505th prime number.
What is the sum of the first 4505 primes?
91,735,872.