What is the 877th prime number?
The 877th prime number is 6823. The next prime is 6827 (a gap of 4) and the one before is 6803.
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 877th one is 6823.
- 2
6823 is prime because no prime up to ā6823 ā 82.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 877th prime is close to 877 Ć ln(877) ā 5943, and here it is 6823.
- 4
6823 has no twin: neither 6821 nor 6825 is prime.
Primes around the 877th
| Position | Prime | Gap from the previous |
|---|---|---|
| 874 | 6791 | 10 |
| 875 | 6793 | 2 |
| 876 | 6803 | 10 |
| 877 | 6823 | 20 |
| 878 | 6827 | 4 |
| 879 | 6829 | 2 |
| 880 | 6833 | 4 |
Questions
What is the 877th prime number?
6823.
Which prime number is 6823?
6823 is the 877th prime number.
What is the sum of the first 877 primes?
2,776,462.