What is the 2154th prime number?
The 2154th prime number is 18919. The next prime is 18947 (a gap of 28) and the one before is 18917.
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 2154th one is 18919.
- 2
18919 is prime because no prime up to ā18919 ā 137.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2154th prime is close to 2154 Ć ln(2154) ā 16532, and here it is 18919.
- 4
18919 is a twin prime: 18917 and 18919 are both prime.
Primes around the 2154th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2151 | 18911 | 12 |
| 2152 | 18913 | 2 |
| 2153 | 18917 | 4 |
| 2154 | 18919 | 2 |
| 2155 | 18947 | 28 |
| 2156 | 18959 | 12 |
| 2157 | 18973 | 14 |
Questions
What is the 2154th prime number?
18919.
Which prime number is 18919?
18919 is the 2154th prime number.
What is the sum of the first 2154 primes?
19,066,571.