What is the 2383rd prime number?
The 2383rd prime number is 21191. The next prime is 21193 (a gap of 2) and the one before is 21187.
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 2383rd one is 21191.
- 2
21191 is prime because no prime up to ā21191 ā 145.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2383rd prime is close to 2383 Ć ln(2383) ā 18530, and here it is 21191.
- 4
21191 is a twin prime: 21191 and 21193 are both prime.
Primes around the 2383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2380 | 21169 | 6 |
| 2381 | 21179 | 10 |
| 2382 | 21187 | 8 |
| 2383 | 21191 | 4 |
| 2384 | 21193 | 2 |
| 2385 | 21211 | 18 |
| 2386 | 21221 | 10 |
Questions
What is the 2383rd prime number?
21191.
Which prime number is 21191?
21191 is the 2383rd prime number.
What is the sum of the first 2383 primes?
23,663,988.