What is the 648th prime number?
The 648th prime number is 4813. The next prime is 4817 (a gap of 4) and the one before is 4801.
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 648th one is 4813.
- 2
4813 is prime because no prime up to ā4813 ā 69.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 648th prime is close to 648 Ć ln(648) ā 4195, and here it is 4813.
- 4
4813 has no twin: neither 4811 nor 4815 is prime.
Primes around the 648th
| Position | Prime | Gap from the previous |
|---|---|---|
| 645 | 4793 | 4 |
| 646 | 4799 | 6 |
| 647 | 4801 | 2 |
| 648 | 4813 | 12 |
| 649 | 4817 | 4 |
| 650 | 4831 | 14 |
| 651 | 4861 | 30 |
Questions
What is the 648th prime number?
4813.
Which prime number is 4813?
4813 is the 648th prime number.
What is the sum of the first 648 primes?
1,444,719.