What is the 880th prime number?
The 880th prime number is 6833. The next prime is 6841 (a gap of 8) and the one before is 6829.
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 880th one is 6833.
- 2
6833 is prime because no prime up to ā6833 ā 82.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 880th prime is close to 880 Ć ln(880) ā 5966, and here it is 6833.
- 4
6833 has no twin: neither 6831 nor 6835 is prime.
Primes around the 880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 877 | 6823 | 20 |
| 878 | 6827 | 4 |
| 879 | 6829 | 2 |
| 880 | 6833 | 4 |
| 881 | 6841 | 8 |
| 882 | 6857 | 16 |
| 883 | 6863 | 6 |
Questions
What is the 880th prime number?
6833.
Which prime number is 6833?
6833 is the 880th prime number.
What is the sum of the first 880 primes?
2,796,951.