What is the 2117th prime number?
The 2117th prime number is 18481. The next prime is 18493 (a gap of 12) and the one before is 18461.
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 2117th one is 18481.
- 2
18481 is prime because no prime up to ā18481 ā 135.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2117th prime is close to 2117 Ć ln(2117) ā 16211, and here it is 18481.
- 4
18481 has no twin: neither 18479 nor 18483 is prime.
Primes around the 2117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2114 | 18451 | 8 |
| 2115 | 18457 | 6 |
| 2116 | 18461 | 4 |
| 2117 | 18481 | 20 |
| 2118 | 18493 | 12 |
| 2119 | 18503 | 10 |
| 2120 | 18517 | 14 |
Questions
What is the 2117th prime number?
18481.
Which prime number is 18481?
18481 is the 2117th prime number.
What is the sum of the first 2117 primes?
18,374,470.