What is the 2195th prime number?
The 2195th prime number is 19387. The next prime is 19391 (a gap of 4) and the one before is 19381.
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 2195th one is 19387.
- 2
19387 is prime because no prime up to ā19387 ā 139.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2195th prime is close to 2195 Ć ln(2195) ā 16888, and here it is 19387.
- 4
19387 has no twin: neither 19385 nor 19389 is prime.
Primes around the 2195th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2192 | 19373 | 40 |
| 2193 | 19379 | 6 |
| 2194 | 19381 | 2 |
| 2195 | 19387 | 6 |
| 2196 | 19391 | 4 |
| 2197 | 19403 | 12 |
| 2198 | 19417 | 14 |
Questions
What is the 2195th prime number?
19387.
Which prime number is 19387?
19387 is the 2195th prime number.
What is the sum of the first 2195 primes?
19,852,482.