What is the 2150th prime number?
The 2150th prime number is 18899. The next prime is 18911 (a gap of 12) and the one before is 18869.
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 2150th one is 18899.
- 2
18899 is prime because no prime up to ā18899 ā 137.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2150th prime is close to 2150 Ć ln(2150) ā 16497, and here it is 18899.
- 4
18899 has no twin: neither 18897 nor 18901 is prime.
Primes around the 2150th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2147 | 18839 | 36 |
| 2148 | 18859 | 20 |
| 2149 | 18869 | 10 |
| 2150 | 18899 | 30 |
| 2151 | 18911 | 12 |
| 2152 | 18913 | 2 |
| 2153 | 18917 | 4 |
Questions
What is the 2150th prime number?
18899.
Which prime number is 18899?
18899 is the 2150th prime number.
What is the sum of the first 2150 primes?
18,990,911.