What is the 172nd prime number?
The 172nd prime number is 1021. The next prime is 1031 (a gap of 10) and the one before is 1019.
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 172nd one is 1021.
- 2
1021 is prime because no prime up to ā1021 ā 31.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 172nd prime is close to 172 Ć ln(172) ā 885, and here it is 1021.
- 4
1021 is a twin prime: 1019 and 1021 are both prime.
Primes around the 172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 169 | 1009 | 12 |
| 170 | 1013 | 4 |
| 171 | 1019 | 6 |
| 172 | 1021 | 2 |
| 173 | 1031 | 10 |
| 174 | 1033 | 2 |
| 175 | 1039 | 6 |
Questions
What is the 172nd prime number?
1021.
Which prime number is 1021?
1021 is the 172nd prime number.
What is the sum of the first 172 primes?
80,189.