What is the 2119th prime number?
The 2119th prime number is 18503. The next prime is 18517 (a gap of 14) and the one before is 18493.
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 2119th one is 18503.
- 2
18503 is prime because no prime up to ā18503 ā 136.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2119th prime is close to 2119 Ć ln(2119) ā 16229, and here it is 18503.
- 4
18503 has no twin: neither 18501 nor 18505 is prime.
Primes around the 2119th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2116 | 18461 | 4 |
| 2117 | 18481 | 20 |
| 2118 | 18493 | 12 |
| 2119 | 18503 | 10 |
| 2120 | 18517 | 14 |
| 2121 | 18521 | 4 |
| 2122 | 18523 | 2 |
Questions
What is the 2119th prime number?
18503.
Which prime number is 18503?
18503 is the 2119th prime number.
What is the sum of the first 2119 primes?
18,411,466.