What is the 4684th prime number?
The 4684th prime number is 45127. The next prime is 45131 (a gap of 4) and the one before is 45121.
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 4684th one is 45127.
- 2
45127 is prime because no prime up to ā45127 ā 212.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4684th prime is close to 4684 Ć ln(4684) ā 39589, and here it is 45127.
- 4
45127 has no twin: neither 45125 nor 45129 is prime.
Primes around the 4684th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4681 | 45083 | 6 |
| 4682 | 45119 | 36 |
| 4683 | 45121 | 2 |
| 4684 | 45127 | 6 |
| 4685 | 45131 | 4 |
| 4686 | 45137 | 6 |
| 4687 | 45139 | 2 |
Questions
What is the 4684th prime number?
45127.
Which prime number is 45127?
45127 is the 4684th prime number.
What is the sum of the first 4684 primes?
99,639,061.