What is the 2115th prime number?
The 2115th prime number is 18457. The next prime is 18461 (a gap of 4) and the one before is 18451.
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 2115th one is 18457.
- 2
18457 is prime because no prime up to ā18457 ā 135.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2115th prime is close to 2115 Ć ln(2115) ā 16194, and here it is 18457.
- 4
18457 has no twin: neither 18455 nor 18459 is prime.
Primes around the 2115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2112 | 18439 | 6 |
| 2113 | 18443 | 4 |
| 2114 | 18451 | 8 |
| 2115 | 18457 | 6 |
| 2116 | 18461 | 4 |
| 2117 | 18481 | 20 |
| 2118 | 18493 | 12 |
Questions
What is the 2115th prime number?
18457.
Which prime number is 18457?
18457 is the 2115th prime number.
What is the sum of the first 2115 primes?
18,337,528.