What is the 2144th prime number?
The 2144th prime number is 18793. The next prime is 18797 (a gap of 4) and the one before is 18787.
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 2144th one is 18793.
- 2
18793 is prime because no prime up to ā18793 ā 137.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2144th prime is close to 2144 Ć ln(2144) ā 16445, and here it is 18793.
- 4
18793 has no twin: neither 18791 nor 18795 is prime.
Primes around the 2144th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2141 | 18757 | 8 |
| 2142 | 18773 | 16 |
| 2143 | 18787 | 14 |
| 2144 | 18793 | 6 |
| 2145 | 18797 | 4 |
| 2146 | 18803 | 6 |
| 2147 | 18839 | 36 |
Questions
What is the 2144th prime number?
18793.
Which prime number is 18793?
18793 is the 2144th prime number.
What is the sum of the first 2144 primes?
18,877,845.