What is the 1083rd prime number?
The 1083rd prime number is 8693. The next prime is 8699 (a gap of 6) and the one before is 8689.
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 1083rd one is 8693.
- 2
8693 is prime because no prime up to ā8693 ā 93.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1083rd prime is close to 1083 Ć ln(1083) ā 7567, and here it is 8693.
- 4
8693 has no twin: neither 8691 nor 8695 is prime.
Primes around the 1083rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1080 | 8677 | 8 |
| 1081 | 8681 | 4 |
| 1082 | 8689 | 8 |
| 1083 | 8693 | 4 |
| 1084 | 8699 | 6 |
| 1085 | 8707 | 8 |
| 1086 | 8713 | 6 |
Questions
What is the 1083rd prime number?
8693.
Which prime number is 8693?
8693 is the 1083rd prime number.
What is the sum of the first 1083 primes?
4,373,364.