What is the 860th prime number?
The 860th prime number is 6673. The next prime is 6679 (a gap of 6) and the one before is 6661.
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 860th one is 6673.
- 2
6673 is prime because no prime up to ā6673 ā 81.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 860th prime is close to 860 Ć ln(860) ā 5811, and here it is 6673.
- 4
6673 has no twin: neither 6671 nor 6675 is prime.
Primes around the 860th
| Position | Prime | Gap from the previous |
|---|---|---|
| 857 | 6653 | 16 |
| 858 | 6659 | 6 |
| 859 | 6661 | 2 |
| 860 | 6673 | 12 |
| 861 | 6679 | 6 |
| 862 | 6689 | 10 |
| 863 | 6691 | 2 |
Questions
What is the 860th prime number?
6673.
Which prime number is 6673?
6673 is the 860th prime number.
What is the sum of the first 860 primes?
2,661,807.