What is the 4839th prime number?
The 4839th prime number is 46829. The next prime is 46831 (a gap of 2) and the one before is 46819.
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 4839th one is 46829.
- 2
46829 is prime because no prime up to ā46829 ā 216.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4839th prime is close to 4839 Ć ln(4839) ā 41056, and here it is 46829.
- 4
46829 is a twin prime: 46829 and 46831 are both prime.
Primes around the 4839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4836 | 46811 | 4 |
| 4837 | 46817 | 6 |
| 4838 | 46819 | 2 |
| 4839 | 46829 | 10 |
| 4840 | 46831 | 2 |
| 4841 | 46853 | 22 |
| 4842 | 46861 | 8 |
Questions
What is the 4839th prime number?
46829.
Which prime number is 46829?
46829 is the 4839th prime number.
What is the sum of the first 4839 primes?
106,768,840.