What is the 177th prime number?
The 177th prime number is 1051. The next prime is 1061 (a gap of 10) and the one before is 1049.
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 177th one is 1051.
- 2
1051 is prime because no prime up to ā1051 ā 32.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 177th prime is close to 177 Ć ln(177) ā 916, and here it is 1051.
- 4
1051 is a twin prime: 1049 and 1051 are both prime.
Primes around the 177th
| Position | Prime | Gap from the previous |
|---|---|---|
| 174 | 1033 | 2 |
| 175 | 1039 | 6 |
| 176 | 1049 | 10 |
| 177 | 1051 | 2 |
| 178 | 1061 | 10 |
| 179 | 1063 | 2 |
| 180 | 1069 | 6 |
Questions
What is the 177th prime number?
1051.
Which prime number is 1051?
1051 is the 177th prime number.
What is the sum of the first 177 primes?
85,392.