What is the 4835th prime number?
The 4835th prime number is 46807. The next prime is 46811 (a gap of 4) and the one before is 46771.
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 4835th one is 46807.
- 2
46807 is prime because no prime up to ā46807 ā 216.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4835th prime is close to 4835 Ć ln(4835) ā 41018, and here it is 46807.
- 4
46807 has no twin: neither 46805 nor 46809 is prime.
Primes around the 4835th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4832 | 46757 | 6 |
| 4833 | 46769 | 12 |
| 4834 | 46771 | 2 |
| 4835 | 46807 | 36 |
| 4836 | 46811 | 4 |
| 4837 | 46817 | 6 |
| 4838 | 46819 | 2 |
Questions
What is the 4835th prime number?
46807.
Which prime number is 46807?
46807 is the 4835th prime number.
What is the sum of the first 4835 primes?
106,581,564.