What is the 4826th prime number?
The 4826th prime number is 46691. The next prime is 46703 (a gap of 12) and the one before is 46687.
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 4826th one is 46691.
- 2
46691 is prime because no prime up to ā46691 ā 216.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4826th prime is close to 4826 Ć ln(4826) ā 40933, and here it is 46691.
- 4
46691 has no twin: neither 46689 nor 46693 is prime.
Primes around the 4826th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4823 | 46679 | 16 |
| 4824 | 46681 | 2 |
| 4825 | 46687 | 6 |
| 4826 | 46691 | 4 |
| 4827 | 46703 | 12 |
| 4828 | 46723 | 20 |
| 4829 | 46727 | 4 |
Questions
What is the 4826th prime number?
46691.
Which prime number is 46691?
46691 is the 4826th prime number.
What is the sum of the first 4826 primes?
106,160,809.