What is the 2159th prime number?
The 2159th prime number is 19001. The next prime is 19009 (a gap of 8) and the one before is 18979.
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 2159th one is 19001.
- 2
19001 is prime because no prime up to ā19001 ā 137.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2159th prime is close to 2159 Ć ln(2159) ā 16576, and here it is 19001.
- 4
19001 has no twin: neither 18999 nor 19003 is prime.
Primes around the 2159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2156 | 18959 | 12 |
| 2157 | 18973 | 14 |
| 2158 | 18979 | 6 |
| 2159 | 19001 | 22 |
| 2160 | 19009 | 8 |
| 2161 | 19013 | 4 |
| 2162 | 19031 | 18 |
Questions
What is the 2159th prime number?
19001.
Which prime number is 19001?
19001 is the 2159th prime number.
What is the sum of the first 2159 primes?
19,161,430.