What is the 2142nd prime number?
The 2142nd prime number is 18773. The next prime is 18787 (a gap of 14) and the one before is 18757.
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 2142nd one is 18773.
- 2
18773 is prime because no prime up to ā18773 ā 137.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2142nd prime is close to 2142 Ć ln(2142) ā 16428, and here it is 18773.
- 4
18773 has no twin: neither 18771 nor 18775 is prime.
Primes around the 2142nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2139 | 18743 | 12 |
| 2140 | 18749 | 6 |
| 2141 | 18757 | 8 |
| 2142 | 18773 | 16 |
| 2143 | 18787 | 14 |
| 2144 | 18793 | 6 |
| 2145 | 18797 | 4 |
Questions
What is the 2142nd prime number?
18773.
Which prime number is 18773?
18773 is the 2142nd prime number.
What is the sum of the first 2142 primes?
18,840,265.