What is the 4682nd prime number?
The 4682nd prime number is 45119. The next prime is 45121 (a gap of 2) and the one before is 45083.
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 4682nd one is 45119.
- 2
45119 is prime because no prime up to ā45119 ā 212.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4682nd prime is close to 4682 Ć ln(4682) ā 39570, and here it is 45119.
- 4
45119 is a twin prime: 45119 and 45121 are both prime.
Primes around the 4682nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4679 | 45061 | 8 |
| 4680 | 45077 | 16 |
| 4681 | 45083 | 6 |
| 4682 | 45119 | 36 |
| 4683 | 45121 | 2 |
| 4684 | 45127 | 6 |
| 4685 | 45131 | 4 |
Questions
What is the 4682nd prime number?
45119.
Which prime number is 45119?
45119 is the 4682nd prime number.
What is the sum of the first 4682 primes?
99,548,813.