What is the 4836th prime number?
The 4836th prime number is 46811. The next prime is 46817 (a gap of 6) and the one before is 46807.
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 4836th one is 46811.
- 2
46811 is prime because no prime up to ā46811 ā 216.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4836th prime is close to 4836 Ć ln(4836) ā 41028, and here it is 46811.
- 4
46811 has no twin: neither 46809 nor 46813 is prime.
Primes around the 4836th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4833 | 46769 | 12 |
| 4834 | 46771 | 2 |
| 4835 | 46807 | 36 |
| 4836 | 46811 | 4 |
| 4837 | 46817 | 6 |
| 4838 | 46819 | 2 |
| 4839 | 46829 | 10 |
Questions
What is the 4836th prime number?
46811.
Which prime number is 46811?
46811 is the 4836th prime number.
What is the sum of the first 4836 primes?
106,628,375.