What is the 2151st prime number?
The 2151st prime number is 18911. The next prime is 18913 (a gap of 2) and the one before is 18899.
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 2151st one is 18911.
- 2
18911 is prime because no prime up to ā18911 ā 137.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2151st prime is close to 2151 Ć ln(2151) ā 16506, and here it is 18911.
- 4
18911 is a twin prime: 18911 and 18913 are both prime.
Primes around the 2151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2148 | 18859 | 20 |
| 2149 | 18869 | 10 |
| 2150 | 18899 | 30 |
| 2151 | 18911 | 12 |
| 2152 | 18913 | 2 |
| 2153 | 18917 | 4 |
| 2154 | 18919 | 2 |
Questions
What is the 2151st prime number?
18911.
Which prime number is 18911?
18911 is the 2151st prime number.
What is the sum of the first 2151 primes?
19,009,822.