What is the 171st prime number?
The 171st prime number is 1019. The next prime is 1021 (a gap of 2) and the one before is 1013.
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 171st one is 1019.
- 2
1019 is prime because no prime up to ā1019 ā 31.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 171st prime is close to 171 Ć ln(171) ā 879, and here it is 1019.
- 4
1019 is a twin prime: 1019 and 1021 are both prime.
Primes around the 171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 168 | 997 | 6 |
| 169 | 1009 | 12 |
| 170 | 1013 | 4 |
| 171 | 1019 | 6 |
| 172 | 1021 | 2 |
| 173 | 1031 | 10 |
| 174 | 1033 | 2 |
Questions
What is the 171st prime number?
1019.
Which prime number is 1019?
1019 is the 171st prime number.
What is the sum of the first 171 primes?
79,168.