What is the 2146th prime number?
The 2146th prime number is 18803. The next prime is 18839 (a gap of 36) and the one before is 18797.
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 2146th one is 18803.
- 2
18803 is prime because no prime up to ā18803 ā 137.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2146th prime is close to 2146 Ć ln(2146) ā 16463, and here it is 18803.
- 4
18803 has no twin: neither 18801 nor 18805 is prime.
Primes around the 2146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2143 | 18787 | 14 |
| 2144 | 18793 | 6 |
| 2145 | 18797 | 4 |
| 2146 | 18803 | 6 |
| 2147 | 18839 | 36 |
| 2148 | 18859 | 20 |
| 2149 | 18869 | 10 |
Questions
What is the 2146th prime number?
18803.
Which prime number is 18803?
18803 is the 2146th prime number.
What is the sum of the first 2146 primes?
18,915,445.