What is the 647th prime number?
The 647th prime number is 4801. The next prime is 4813 (a gap of 12) and the one before is 4799.
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 647th one is 4801.
- 2
4801 is prime because no prime up to ā4801 ā 69.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 647th prime is close to 647 Ć ln(647) ā 4188, and here it is 4801.
- 4
4801 is a twin prime: 4799 and 4801 are both prime.
Primes around the 647th
| Position | Prime | Gap from the previous |
|---|---|---|
| 644 | 4789 | 2 |
| 645 | 4793 | 4 |
| 646 | 4799 | 6 |
| 647 | 4801 | 2 |
| 648 | 4813 | 12 |
| 649 | 4817 | 4 |
| 650 | 4831 | 14 |
Questions
What is the 647th prime number?
4801.
Which prime number is 4801?
4801 is the 647th prime number.
What is the sum of the first 647 primes?
1,439,906.