What is the 1081st prime number?
The 1081st prime number is 8681. The next prime is 8689 (a gap of 8) and the one before is 8677.
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 1081st one is 8681.
- 2
8681 is prime because no prime up to ā8681 ā 93.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1081st prime is close to 1081 Ć ln(1081) ā 7551, and here it is 8681.
- 4
8681 has no twin: neither 8679 nor 8683 is prime.
Primes around the 1081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1078 | 8663 | 16 |
| 1079 | 8669 | 6 |
| 1080 | 8677 | 8 |
| 1081 | 8681 | 4 |
| 1082 | 8689 | 8 |
| 1083 | 8693 | 4 |
| 1084 | 8699 | 6 |
Questions
What is the 1081st prime number?
8681.
Which prime number is 8681?
8681 is the 1081st prime number.
What is the sum of the first 1081 primes?
4,355,982.