What is the 2172nd prime number?
The 2172nd prime number is 19141. The next prime is 19157 (a gap of 16) and the one before is 19139.
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 2172nd one is 19141.
- 2
19141 is prime because no prime up to ā19141 ā 138.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2172nd prime is close to 2172 Ć ln(2172) ā 16688, and here it is 19141.
- 4
19141 is a twin prime: 19139 and 19141 are both prime.
Primes around the 2172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2169 | 19087 | 6 |
| 2170 | 19121 | 34 |
| 2171 | 19139 | 18 |
| 2172 | 19141 | 2 |
| 2173 | 19157 | 16 |
| 2174 | 19163 | 6 |
| 2175 | 19181 | 18 |
Questions
What is the 2172nd prime number?
19141.
Which prime number is 19141?
19141 is the 2172nd prime number.
What is the sum of the first 2172 primes?
19,409,361.