What is the 2148th prime number?
The 2148th prime number is 18859. The next prime is 18869 (a gap of 10) and the one before is 18839.
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 2148th one is 18859.
- 2
18859 is prime because no prime up to ā18859 ā 137.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2148th prime is close to 2148 Ć ln(2148) ā 16480, and here it is 18859.
- 4
18859 has no twin: neither 18857 nor 18861 is prime.
Primes around the 2148th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2145 | 18797 | 4 |
| 2146 | 18803 | 6 |
| 2147 | 18839 | 36 |
| 2148 | 18859 | 20 |
| 2149 | 18869 | 10 |
| 2150 | 18899 | 30 |
| 2151 | 18911 | 12 |
Questions
What is the 2148th prime number?
18859.
Which prime number is 18859?
18859 is the 2148th prime number.
What is the sum of the first 2148 primes?
18,953,143.