What is the 2160th prime number?
The 2160th prime number is 19009. The next prime is 19013 (a gap of 4) and the one before is 19001.
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 2160th one is 19009.
- 2
19009 is prime because no prime up to ā19009 ā 137.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2160th prime is close to 2160 Ć ln(2160) ā 16584, and here it is 19009.
- 4
19009 has no twin: neither 19007 nor 19011 is prime.
Primes around the 2160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2157 | 18973 | 14 |
| 2158 | 18979 | 6 |
| 2159 | 19001 | 22 |
| 2160 | 19009 | 8 |
| 2161 | 19013 | 4 |
| 2162 | 19031 | 18 |
| 2163 | 19037 | 6 |
Questions
What is the 2160th prime number?
19009.
Which prime number is 19009?
19009 is the 2160th prime number.
What is the sum of the first 2160 primes?
19,180,439.