What is the 4718th prime number?
The 4718th prime number is 45503. The next prime is 45523 (a gap of 20) and the one before is 45497.
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 4718th one is 45503.
- 2
45503 is prime because no prime up to ā45503 ā 213.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4718th prime is close to 4718 Ć ln(4718) ā 39910, and here it is 45503.
- 4
45503 has no twin: neither 45501 nor 45505 is prime.
Primes around the 4718th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4715 | 45481 | 42 |
| 4716 | 45491 | 10 |
| 4717 | 45497 | 6 |
| 4718 | 45503 | 6 |
| 4719 | 45523 | 20 |
| 4720 | 45533 | 10 |
| 4721 | 45541 | 8 |
Questions
What is the 4718th prime number?
45503.
Which prime number is 45503?
45503 is the 4718th prime number.
What is the sum of the first 4718 primes?
101,179,749.