What is the 2113th prime number?
The 2113th prime number is 18443. The next prime is 18451 (a gap of 8) and the one before is 18439.
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 2113th one is 18443.
- 2
18443 is prime because no prime up to ā18443 ā 135.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2113th prime is close to 2113 Ć ln(2113) ā 16177, and here it is 18443.
- 4
18443 has no twin: neither 18441 nor 18445 is prime.
Primes around the 2113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2110 | 18427 | 14 |
| 2111 | 18433 | 6 |
| 2112 | 18439 | 6 |
| 2113 | 18443 | 4 |
| 2114 | 18451 | 8 |
| 2115 | 18457 | 6 |
| 2116 | 18461 | 4 |
Questions
What is the 2113th prime number?
18443.
Which prime number is 18443?
18443 is the 2113th prime number.
What is the sum of the first 2113 primes?
18,300,620.