What is the 2387th prime number?
The 2387th prime number is 21227. The next prime is 21247 (a gap of 20) and the one before is 21221.
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 2387th one is 21227.
- 2
21227 is prime because no prime up to ā21227 ā 145.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2387th prime is close to 2387 Ć ln(2387) ā 18566, and here it is 21227.
- 4
21227 has no twin: neither 21225 nor 21229 is prime.
Primes around the 2387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2384 | 21193 | 2 |
| 2385 | 21211 | 18 |
| 2386 | 21221 | 10 |
| 2387 | 21227 | 6 |
| 2388 | 21247 | 20 |
| 2389 | 21269 | 22 |
| 2390 | 21277 | 8 |
Questions
What is the 2387th prime number?
21227.
Which prime number is 21227?
21227 is the 2387th prime number.
What is the sum of the first 2387 primes?
23,748,840.