What is the 858th prime number?
The 858th prime number is 6659. The next prime is 6661 (a gap of 2) and the one before is 6653.
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 858th one is 6659.
- 2
6659 is prime because no prime up to ā6659 ā 81.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 858th prime is close to 858 Ć ln(858) ā 5795, and here it is 6659.
- 4
6659 is a twin prime: 6659 and 6661 are both prime.
Primes around the 858th
| Position | Prime | Gap from the previous |
|---|---|---|
| 855 | 6619 | 12 |
| 856 | 6637 | 18 |
| 857 | 6653 | 16 |
| 858 | 6659 | 6 |
| 859 | 6661 | 2 |
| 860 | 6673 | 12 |
| 861 | 6679 | 6 |
Questions
What is the 858th prime number?
6659.
Which prime number is 6659?
6659 is the 858th prime number.
What is the sum of the first 858 primes?
2,648,473.