What is the 1079th prime number?
The 1079th prime number is 8669. The next prime is 8677 (a gap of 8) and the one before is 8663.
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, ⦠The 1079th one is 8669.
- 2
8669 is prime because no prime up to ā8669 ā 93.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1079th prime is close to 1079 Ć ln(1079) ā 7536, and here it is 8669.
- 4
8669 has no twin: neither 8667 nor 8671 is prime.
Primes around the 1079th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1076 | 8641 | 12 |
| 1077 | 8647 | 6 |
| 1078 | 8663 | 16 |
| 1079 | 8669 | 6 |
| 1080 | 8677 | 8 |
| 1081 | 8681 | 4 |
| 1082 | 8689 | 8 |
Questions
What is the 1079th prime number?
8669.
Which prime number is 8669?
8669 is the 1079th prime number.
What is the sum of the first 1079 primes?
4,338,624.