What is the 180th prime number?
The 180th prime number is 1069. The next prime is 1087 (a gap of 18) and the one before is 1063.
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 180th one is 1069.
- 2
1069 is prime because no prime up to ā1069 ā 32.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 180th prime is close to 180 Ć ln(180) ā 935, and here it is 1069.
- 4
1069 has no twin: neither 1067 nor 1071 is prime.
Primes around the 180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 177 | 1051 | 2 |
| 178 | 1061 | 10 |
| 179 | 1063 | 2 |
| 180 | 1069 | 6 |
| 181 | 1087 | 18 |
| 182 | 1091 | 4 |
| 183 | 1093 | 2 |
Questions
What is the 180th prime number?
1069.
Which prime number is 1069?
1069 is the 180th prime number.
What is the sum of the first 180 primes?
88,585.