What is the 4815th prime number?
The 4815th prime number is 46591. The next prime is 46601 (a gap of 10) and the one before is 46589.
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 4815th one is 46591.
- 2
46591 is prime because no prime up to ā46591 ā 215.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4815th prime is close to 4815 Ć ln(4815) ā 40829, and here it is 46591.
- 4
46591 is a twin prime: 46589 and 46591 are both prime.
Primes around the 4815th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4812 | 46567 | 8 |
| 4813 | 46573 | 6 |
| 4814 | 46589 | 16 |
| 4815 | 46591 | 2 |
| 4816 | 46601 | 10 |
| 4817 | 46619 | 18 |
| 4818 | 46633 | 14 |
Questions
What is the 4815th prime number?
46591.
Which prime number is 46591?
46591 is the 4815th prime number.
What is the sum of the first 4815 primes?
105,647,624.