What is the 853rd prime number?
The 853rd prime number is 6599. The next prime is 6607 (a gap of 8) and the one before is 6581.
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 853rd one is 6599.
- 2
6599 is prime because no prime up to ā6599 ā 81.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 853rd prime is close to 853 Ć ln(853) ā 5757, and here it is 6599.
- 4
6599 has no twin: neither 6597 nor 6601 is prime.
Primes around the 853rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 850 | 6571 | 2 |
| 851 | 6577 | 6 |
| 852 | 6581 | 4 |
| 853 | 6599 | 18 |
| 854 | 6607 | 8 |
| 855 | 6619 | 12 |
| 856 | 6637 | 18 |
Questions
What is the 853rd prime number?
6599.
Which prime number is 6599?
6599 is the 853rd prime number.
What is the sum of the first 853 primes?
2,615,298.