What is the 659th prime number?
The 659th prime number is 4933. The next prime is 4937 (a gap of 4) and the one before is 4931.
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 659th one is 4933.
- 2
4933 is prime because no prime up to ā4933 ā 70.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 659th prime is close to 659 Ć ln(659) ā 4277, and here it is 4933.
- 4
4933 is a twin prime: 4931 and 4933 are both prime.
Primes around the 659th
| Position | Prime | Gap from the previous |
|---|---|---|
| 656 | 4909 | 6 |
| 657 | 4919 | 10 |
| 658 | 4931 | 12 |
| 659 | 4933 | 2 |
| 660 | 4937 | 4 |
| 661 | 4943 | 6 |
| 662 | 4951 | 8 |
Questions
What is the 659th prime number?
4933.
Which prime number is 4933?
4933 is the 659th prime number.
What is the sum of the first 659 primes?
1,498,460.