What is the 650th prime number?
The 650th prime number is 4831. The next prime is 4861 (a gap of 30) and the one before is 4817.
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 650th one is 4831.
- 2
4831 is prime because no prime up to ā4831 ā 69.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 650th prime is close to 650 Ć ln(650) ā 4210, and here it is 4831.
- 4
4831 has no twin: neither 4829 nor 4833 is prime.
Primes around the 650th
| Position | Prime | Gap from the previous |
|---|---|---|
| 647 | 4801 | 2 |
| 648 | 4813 | 12 |
| 649 | 4817 | 4 |
| 650 | 4831 | 14 |
| 651 | 4861 | 30 |
| 652 | 4871 | 10 |
| 653 | 4877 | 6 |
Questions
What is the 650th prime number?
4831.
Which prime number is 4831?
4831 is the 650th prime number.
What is the sum of the first 650 primes?
1,454,367.