What is the 4838th prime number?
The 4838th prime number is 46819. The next prime is 46829 (a gap of 10) and the one before is 46817.
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 4838th one is 46819.
- 2
46819 is prime because no prime up to ā46819 ā 216.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4838th prime is close to 4838 Ć ln(4838) ā 41047, and here it is 46819.
- 4
46819 is a twin prime: 46817 and 46819 are both prime.
Primes around the 4838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4835 | 46807 | 36 |
| 4836 | 46811 | 4 |
| 4837 | 46817 | 6 |
| 4838 | 46819 | 2 |
| 4839 | 46829 | 10 |
| 4840 | 46831 | 2 |
| 4841 | 46853 | 22 |
Questions
What is the 4838th prime number?
46819.
Which prime number is 46819?
46819 is the 4838th prime number.
What is the sum of the first 4838 primes?
106,722,011.