What is the 2118th prime number?
The 2118th prime number is 18493. The next prime is 18503 (a gap of 10) and the one before is 18481.
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 2118th one is 18493.
- 2
18493 is prime because no prime up to ā18493 ā 135.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2118th prime is close to 2118 Ć ln(2118) ā 16220, and here it is 18493.
- 4
18493 has no twin: neither 18491 nor 18495 is prime.
Primes around the 2118th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2115 | 18457 | 6 |
| 2116 | 18461 | 4 |
| 2117 | 18481 | 20 |
| 2118 | 18493 | 12 |
| 2119 | 18503 | 10 |
| 2120 | 18517 | 14 |
| 2121 | 18521 | 4 |
Questions
What is the 2118th prime number?
18493.
Which prime number is 18493?
18493 is the 2118th prime number.
What is the sum of the first 2118 primes?
18,392,963.