What is the 2155th prime number?
The 2155th prime number is 18947. The next prime is 18959 (a gap of 12) and the one before is 18919.
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 2155th one is 18947.
- 2
18947 is prime because no prime up to ā18947 ā 137.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2155th prime is close to 2155 Ć ln(2155) ā 16541, and here it is 18947.
- 4
18947 has no twin: neither 18945 nor 18949 is prime.
Primes around the 2155th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2152 | 18913 | 2 |
| 2153 | 18917 | 4 |
| 2154 | 18919 | 2 |
| 2155 | 18947 | 28 |
| 2156 | 18959 | 12 |
| 2157 | 18973 | 14 |
| 2158 | 18979 | 6 |
Questions
What is the 2155th prime number?
18947.
Which prime number is 18947?
18947 is the 2155th prime number.
What is the sum of the first 2155 primes?
19,085,518.