What is the 4816th prime number?
The 4816th prime number is 46601. The next prime is 46619 (a gap of 18) and the one before is 46591.
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 4816th one is 46601.
- 2
46601 is prime because no prime up to ā46601 ā 215.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4816th prime is close to 4816 Ć ln(4816) ā 40838, and here it is 46601.
- 4
46601 has no twin: neither 46599 nor 46603 is prime.
Primes around the 4816th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4813 | 46573 | 6 |
| 4814 | 46589 | 16 |
| 4815 | 46591 | 2 |
| 4816 | 46601 | 10 |
| 4817 | 46619 | 18 |
| 4818 | 46633 | 14 |
| 4819 | 46639 | 6 |
Questions
What is the 4816th prime number?
46601.
Which prime number is 46601?
46601 is the 4816th prime number.
What is the sum of the first 4816 primes?
105,694,225.