What is the 4827th prime number?
The 4827th prime number is 46703. The next prime is 46723 (a gap of 20) and the one before is 46691.
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 4827th one is 46703.
- 2
46703 is prime because no prime up to ā46703 ā 216.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4827th prime is close to 4827 Ć ln(4827) ā 40943, and here it is 46703.
- 4
46703 has no twin: neither 46701 nor 46705 is prime.
Primes around the 4827th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4824 | 46681 | 2 |
| 4825 | 46687 | 6 |
| 4826 | 46691 | 4 |
| 4827 | 46703 | 12 |
| 4828 | 46723 | 20 |
| 4829 | 46727 | 4 |
| 4830 | 46747 | 20 |
Questions
What is the 4827th prime number?
46703.
Which prime number is 46703?
46703 is the 4827th prime number.
What is the sum of the first 4827 primes?
106,207,512.