What is the 4716th prime number?
The 4716th prime number is 45491. The next prime is 45497 (a gap of 6) and the one before is 45481.
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 4716th one is 45491.
- 2
45491 is prime because no prime up to ā45491 ā 213.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4716th prime is close to 4716 Ć ln(4716) ā 39891, and here it is 45491.
- 4
45491 has no twin: neither 45489 nor 45493 is prime.
Primes around the 4716th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4713 | 45433 | 6 |
| 4714 | 45439 | 6 |
| 4715 | 45481 | 42 |
| 4716 | 45491 | 10 |
| 4717 | 45497 | 6 |
| 4718 | 45503 | 6 |
| 4719 | 45523 | 20 |
Questions
What is the 4716th prime number?
45491.
Which prime number is 45491?
45491 is the 4716th prime number.
What is the sum of the first 4716 primes?
101,088,749.