What is the 649th prime number?
The 649th prime number is 4817. The next prime is 4831 (a gap of 14) and the one before is 4813.
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 649th one is 4817.
- 2
4817 is prime because no prime up to ā4817 ā 69.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 649th prime is close to 649 Ć ln(649) ā 4203, and here it is 4817.
- 4
4817 has no twin: neither 4815 nor 4819 is prime.
Primes around the 649th
| Position | Prime | Gap from the previous |
|---|---|---|
| 646 | 4799 | 6 |
| 647 | 4801 | 2 |
| 648 | 4813 | 12 |
| 649 | 4817 | 4 |
| 650 | 4831 | 14 |
| 651 | 4861 | 30 |
| 652 | 4871 | 10 |
Questions
What is the 649th prime number?
4817.
Which prime number is 4817?
4817 is the 649th prime number.
What is the sum of the first 649 primes?
1,449,536.