What is the 883rd prime number?
The 883rd prime number is 6863. The next prime is 6869 (a gap of 6) and the one before is 6857.
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 883rd one is 6863.
- 2
6863 is prime because no prime up to ā6863 ā 82.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 883rd prime is close to 883 Ć ln(883) ā 5990, and here it is 6863.
- 4
6863 has no twin: neither 6861 nor 6865 is prime.
Primes around the 883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 880 | 6833 | 4 |
| 881 | 6841 | 8 |
| 882 | 6857 | 16 |
| 883 | 6863 | 6 |
| 884 | 6869 | 6 |
| 885 | 6871 | 2 |
| 886 | 6883 | 12 |
Questions
What is the 883rd prime number?
6863.
Which prime number is 6863?
6863 is the 883rd prime number.
What is the sum of the first 883 primes?
2,817,512.