What is the 859th prime number?
The 859th prime number is 6661. The next prime is 6673 (a gap of 12) and the one before is 6659.
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 859th one is 6661.
- 2
6661 is prime because no prime up to ā6661 ā 81.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 859th prime is close to 859 Ć ln(859) ā 5803, and here it is 6661.
- 4
6661 is a twin prime: 6659 and 6661 are both prime.
Primes around the 859th
| Position | Prime | Gap from the previous |
|---|---|---|
| 856 | 6637 | 18 |
| 857 | 6653 | 16 |
| 858 | 6659 | 6 |
| 859 | 6661 | 2 |
| 860 | 6673 | 12 |
| 861 | 6679 | 6 |
| 862 | 6689 | 10 |
Questions
What is the 859th prime number?
6661.
Which prime number is 6661?
6661 is the 859th prime number.
What is the sum of the first 859 primes?
2,655,134.