What is the 876th prime number?
The 876th prime number is 6803. The next prime is 6823 (a gap of 20) and the one before is 6793.
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 876th one is 6803.
- 2
6803 is prime because no prime up to ā6803 ā 82.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 876th prime is close to 876 Ć ln(876) ā 5935, and here it is 6803.
- 4
6803 has no twin: neither 6801 nor 6805 is prime.
Primes around the 876th
| Position | Prime | Gap from the previous |
|---|---|---|
| 873 | 6781 | 2 |
| 874 | 6791 | 10 |
| 875 | 6793 | 2 |
| 876 | 6803 | 10 |
| 877 | 6823 | 20 |
| 878 | 6827 | 4 |
| 879 | 6829 | 2 |
Questions
What is the 876th prime number?
6803.
Which prime number is 6803?
6803 is the 876th prime number.
What is the sum of the first 876 primes?
2,769,639.