What is the 2120th prime number?
The 2120th prime number is 18517. The next prime is 18521 (a gap of 4) and the one before is 18503.
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 2120th one is 18517.
- 2
18517 is prime because no prime up to ā18517 ā 136.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2120th prime is close to 2120 Ć ln(2120) ā 16237, and here it is 18517.
- 4
18517 has no twin: neither 18515 nor 18519 is prime.
Primes around the 2120th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2117 | 18481 | 20 |
| 2118 | 18493 | 12 |
| 2119 | 18503 | 10 |
| 2120 | 18517 | 14 |
| 2121 | 18521 | 4 |
| 2122 | 18523 | 2 |
| 2123 | 18539 | 16 |
Questions
What is the 2120th prime number?
18517.
Which prime number is 18517?
18517 is the 2120th prime number.
What is the sum of the first 2120 primes?
18,429,983.