What is the 2386th prime number?
The 2386th prime number is 21221. The next prime is 21227 (a gap of 6) and the one before is 21211.
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 2386th one is 21221.
- 2
21221 is prime because no prime up to ā21221 ā 145.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2386th prime is close to 2386 Ć ln(2386) ā 18557, and here it is 21221.
- 4
21221 has no twin: neither 21219 nor 21223 is prime.
Primes around the 2386th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2383 | 21191 | 4 |
| 2384 | 21193 | 2 |
| 2385 | 21211 | 18 |
| 2386 | 21221 | 10 |
| 2387 | 21227 | 6 |
| 2388 | 21247 | 20 |
| 2389 | 21269 | 22 |
Questions
What is the 2386th prime number?
21221.
Which prime number is 21221?
21221 is the 2386th prime number.
What is the sum of the first 2386 primes?
23,727,613.