What is the 882nd prime number?
The 882nd prime number is 6857. The next prime is 6863 (a gap of 6) and the one before is 6841.
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 882nd one is 6857.
- 2
6857 is prime because no prime up to ā6857 ā 82.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 882nd prime is close to 882 Ć ln(882) ā 5982, and here it is 6857.
- 4
6857 has no twin: neither 6855 nor 6859 is prime.
Primes around the 882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 879 | 6829 | 2 |
| 880 | 6833 | 4 |
| 881 | 6841 | 8 |
| 882 | 6857 | 16 |
| 883 | 6863 | 6 |
| 884 | 6869 | 6 |
| 885 | 6871 | 2 |
Questions
What is the 882nd prime number?
6857.
Which prime number is 6857?
6857 is the 882nd prime number.
What is the sum of the first 882 primes?
2,810,649.