What is the 646th prime number?
The 646th prime number is 4799. The next prime is 4801 (a gap of 2) and the one before is 4793.
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 646th one is 4799.
- 2
4799 is prime because no prime up to ā4799 ā 69.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 646th prime is close to 646 Ć ln(646) ā 4180, and here it is 4799.
- 4
4799 is a twin prime: 4799 and 4801 are both prime.
Primes around the 646th
| Position | Prime | Gap from the previous |
|---|---|---|
| 643 | 4787 | 4 |
| 644 | 4789 | 2 |
| 645 | 4793 | 4 |
| 646 | 4799 | 6 |
| 647 | 4801 | 2 |
| 648 | 4813 | 12 |
| 649 | 4817 | 4 |
Questions
What is the 646th prime number?
4799.
Which prime number is 4799?
4799 is the 646th prime number.
What is the sum of the first 646 primes?
1,435,105.