What is the 881st prime number?
The 881st prime number is 6841. The next prime is 6857 (a gap of 16) and the one before is 6833.
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 881st one is 6841.
- 2
6841 is prime because no prime up to ā6841 ā 82.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 881st prime is close to 881 Ć ln(881) ā 5974, and here it is 6841.
- 4
6841 has no twin: neither 6839 nor 6843 is prime.
Primes around the 881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 878 | 6827 | 4 |
| 879 | 6829 | 2 |
| 880 | 6833 | 4 |
| 881 | 6841 | 8 |
| 882 | 6857 | 16 |
| 883 | 6863 | 6 |
| 884 | 6869 | 6 |
Questions
What is the 881st prime number?
6841.
Which prime number is 6841?
6841 is the 881st prime number.
What is the sum of the first 881 primes?
2,803,792.