What is the 2143rd prime number?
The 2143rd prime number is 18787. The next prime is 18793 (a gap of 6) and the one before is 18773.
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 2143rd one is 18787.
- 2
18787 is prime because no prime up to ā18787 ā 137.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2143rd prime is close to 2143 Ć ln(2143) ā 16437, and here it is 18787.
- 4
18787 has no twin: neither 18785 nor 18789 is prime.
Primes around the 2143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2140 | 18749 | 6 |
| 2141 | 18757 | 8 |
| 2142 | 18773 | 16 |
| 2143 | 18787 | 14 |
| 2144 | 18793 | 6 |
| 2145 | 18797 | 4 |
| 2146 | 18803 | 6 |
Questions
What is the 2143rd prime number?
18787.
Which prime number is 18787?
18787 is the 2143rd prime number.
What is the sum of the first 2143 primes?
18,859,052.