What is the 178th prime number?
The 178th prime number is 1061. The next prime is 1063 (a gap of 2) and the one before is 1051.
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 178th one is 1061.
- 2
1061 is prime because no prime up to ā1061 ā 32.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 178th prime is close to 178 Ć ln(178) ā 922, and here it is 1061.
- 4
1061 is a twin prime: 1061 and 1063 are both prime.
Primes around the 178th
| Position | Prime | Gap from the previous |
|---|---|---|
| 175 | 1039 | 6 |
| 176 | 1049 | 10 |
| 177 | 1051 | 2 |
| 178 | 1061 | 10 |
| 179 | 1063 | 2 |
| 180 | 1069 | 6 |
| 181 | 1087 | 18 |
Questions
What is the 178th prime number?
1061.
Which prime number is 1061?
1061 is the 178th prime number.
What is the sum of the first 178 primes?
86,453.