What is the 4717th prime number?
The 4717th prime number is 45497. The next prime is 45503 (a gap of 6) and the one before is 45491.
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 4717th one is 45497.
- 2
45497 is prime because no prime up to ā45497 ā 213.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4717th prime is close to 4717 Ć ln(4717) ā 39901, and here it is 45497.
- 4
45497 has no twin: neither 45495 nor 45499 is prime.
Primes around the 4717th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4714 | 45439 | 6 |
| 4715 | 45481 | 42 |
| 4716 | 45491 | 10 |
| 4717 | 45497 | 6 |
| 4718 | 45503 | 6 |
| 4719 | 45523 | 20 |
| 4720 | 45533 | 10 |
Questions
What is the 4717th prime number?
45497.
Which prime number is 45497?
45497 is the 4717th prime number.
What is the sum of the first 4717 primes?
101,134,246.