What is the 1082nd prime number?
The 1082nd prime number is 8689. The next prime is 8693 (a gap of 4) and the one before is 8681.
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 1082nd one is 8689.
- 2
8689 is prime because no prime up to ā8689 ā 93.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1082nd prime is close to 1082 Ć ln(1082) ā 7559, and here it is 8689.
- 4
8689 has no twin: neither 8687 nor 8691 is prime.
Primes around the 1082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1079 | 8669 | 6 |
| 1080 | 8677 | 8 |
| 1081 | 8681 | 4 |
| 1082 | 8689 | 8 |
| 1083 | 8693 | 4 |
| 1084 | 8699 | 6 |
| 1085 | 8707 | 8 |
Questions
What is the 1082nd prime number?
8689.
Which prime number is 8689?
8689 is the 1082nd prime number.
What is the sum of the first 1082 primes?
4,364,671.