What is the 658th prime number?
The 658th prime number is 4931. The next prime is 4933 (a gap of 2) and the one before is 4919.
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 658th one is 4931.
- 2
4931 is prime because no prime up to ā4931 ā 70.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 658th prime is close to 658 Ć ln(658) ā 4270, and here it is 4931.
- 4
4931 is a twin prime: 4931 and 4933 are both prime.
Primes around the 658th
| Position | Prime | Gap from the previous |
|---|---|---|
| 655 | 4903 | 14 |
| 656 | 4909 | 6 |
| 657 | 4919 | 10 |
| 658 | 4931 | 12 |
| 659 | 4933 | 2 |
| 660 | 4937 | 4 |
| 661 | 4943 | 6 |
Questions
What is the 658th prime number?
4931.
Which prime number is 4931?
4931 is the 658th prime number.
What is the sum of the first 658 primes?
1,493,527.