What is the 2116th prime number?
The 2116th prime number is 18461. The next prime is 18481 (a gap of 20) and the one before is 18457.
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 2116th one is 18461.
- 2
18461 is prime because no prime up to ā18461 ā 135.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2116th prime is close to 2116 Ć ln(2116) ā 16203, and here it is 18461.
- 4
18461 has no twin: neither 18459 nor 18463 is prime.
Primes around the 2116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2113 | 18443 | 4 |
| 2114 | 18451 | 8 |
| 2115 | 18457 | 6 |
| 2116 | 18461 | 4 |
| 2117 | 18481 | 20 |
| 2118 | 18493 | 12 |
| 2119 | 18503 | 10 |
Questions
What is the 2116th prime number?
18461.
Which prime number is 18461?
18461 is the 2116th prime number.
What is the sum of the first 2116 primes?
18,355,989.