What is the 179th prime number?
The 179th prime number is 1063. The next prime is 1069 (a gap of 6) and the one before is 1061.
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 179th one is 1063.
- 2
1063 is prime because no prime up to ā1063 ā 32.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 179th prime is close to 179 Ć ln(179) ā 929, and here it is 1063.
- 4
1063 is a twin prime: 1061 and 1063 are both prime.
Primes around the 179th
| Position | Prime | Gap from the previous |
|---|---|---|
| 176 | 1049 | 10 |
| 177 | 1051 | 2 |
| 178 | 1061 | 10 |
| 179 | 1063 | 2 |
| 180 | 1069 | 6 |
| 181 | 1087 | 18 |
| 182 | 1091 | 4 |
Questions
What is the 179th prime number?
1063.
Which prime number is 1063?
1063 is the 179th prime number.
What is the sum of the first 179 primes?
87,516.