What is the 2192nd prime number?
The 2192nd prime number is 19373. The next prime is 19379 (a gap of 6) and the one before is 19333.
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 2192nd one is 19373.
- 2
19373 is prime because no prime up to ā19373 ā 139.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2192nd prime is close to 2192 Ć ln(2192) ā 16862, and here it is 19373.
- 4
19373 has no twin: neither 19371 nor 19375 is prime.
Primes around the 2192nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2189 | 19309 | 8 |
| 2190 | 19319 | 10 |
| 2191 | 19333 | 14 |
| 2192 | 19373 | 40 |
| 2193 | 19379 | 6 |
| 2194 | 19381 | 2 |
| 2195 | 19387 | 6 |
Questions
What is the 2192nd prime number?
19373.
Which prime number is 19373?
19373 is the 2192nd prime number.
What is the sum of the first 2192 primes?
19,794,335.