What is the 2111th prime number?
The 2111th prime number is 18433. The next prime is 18439 (a gap of 6) and the one before is 18427.
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 2111th one is 18433.
- 2
18433 is prime because no prime up to ā18433 ā 135.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2111th prime is close to 2111 Ć ln(2111) ā 16160, and here it is 18433.
- 4
18433 has no twin: neither 18431 nor 18435 is prime.
Primes around the 2111th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2108 | 18401 | 4 |
| 2109 | 18413 | 12 |
| 2110 | 18427 | 14 |
| 2111 | 18433 | 6 |
| 2112 | 18439 | 6 |
| 2113 | 18443 | 4 |
| 2114 | 18451 | 8 |
Questions
What is the 2111th prime number?
18433.
Which prime number is 18433?
18433 is the 2111th prime number.
What is the sum of the first 2111 primes?
18,263,738.