What is the 1080th prime number?
The 1080th prime number is 8677. The next prime is 8681 (a gap of 4) and the one before is 8669.
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 1080th one is 8677.
- 2
8677 is prime because no prime up to ā8677 ā 93.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1080th prime is close to 1080 Ć ln(1080) ā 7543, and here it is 8677.
- 4
8677 has no twin: neither 8675 nor 8679 is prime.
Primes around the 1080th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1077 | 8647 | 6 |
| 1078 | 8663 | 16 |
| 1079 | 8669 | 6 |
| 1080 | 8677 | 8 |
| 1081 | 8681 | 4 |
| 1082 | 8689 | 8 |
| 1083 | 8693 | 4 |
Questions
What is the 1080th prime number?
8677.
Which prime number is 8677?
8677 is the 1080th prime number.
What is the sum of the first 1080 primes?
4,347,301.