What is the 4825th prime number?
The 4825th prime number is 46687. The next prime is 46691 (a gap of 4) and the one before is 46681.
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 4825th one is 46687.
- 2
46687 is prime because no prime up to ā46687 ā 216.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4825th prime is close to 4825 Ć ln(4825) ā 40924, and here it is 46687.
- 4
46687 has no twin: neither 46685 nor 46689 is prime.
Primes around the 4825th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4822 | 46663 | 14 |
| 4823 | 46679 | 16 |
| 4824 | 46681 | 2 |
| 4825 | 46687 | 6 |
| 4826 | 46691 | 4 |
| 4827 | 46703 | 12 |
| 4828 | 46723 | 20 |
Questions
What is the 4825th prime number?
46687.
Which prime number is 46687?
46687 is the 4825th prime number.
What is the sum of the first 4825 primes?
106,114,118.