What is the 2158th prime number?
The 2158th prime number is 18979. The next prime is 19001 (a gap of 22) and the one before is 18973.
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 2158th one is 18979.
- 2
18979 is prime because no prime up to ā18979 ā 137.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2158th prime is close to 2158 Ć ln(2158) ā 16567, and here it is 18979.
- 4
18979 has no twin: neither 18977 nor 18981 is prime.
Primes around the 2158th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2155 | 18947 | 28 |
| 2156 | 18959 | 12 |
| 2157 | 18973 | 14 |
| 2158 | 18979 | 6 |
| 2159 | 19001 | 22 |
| 2160 | 19009 | 8 |
| 2161 | 19013 | 4 |
Questions
What is the 2158th prime number?
18979.
Which prime number is 18979?
18979 is the 2158th prime number.
What is the sum of the first 2158 primes?
19,142,429.