What is the 2112th prime number?
The 2112th prime number is 18439. The next prime is 18443 (a gap of 4) and the one before is 18433.
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 2112th one is 18439.
- 2
18439 is prime because no prime up to ā18439 ā 135.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2112th prime is close to 2112 Ć ln(2112) ā 16168, and here it is 18439.
- 4
18439 has no twin: neither 18437 nor 18441 is prime.
Primes around the 2112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2109 | 18413 | 12 |
| 2110 | 18427 | 14 |
| 2111 | 18433 | 6 |
| 2112 | 18439 | 6 |
| 2113 | 18443 | 4 |
| 2114 | 18451 | 8 |
| 2115 | 18457 | 6 |
Questions
What is the 2112th prime number?
18439.
Which prime number is 18439?
18439 is the 2112th prime number.
What is the sum of the first 2112 primes?
18,282,177.