What is the 4887th prime number?
The 4887th prime number is 47389. The next prime is 47407 (a gap of 18) and the one before is 47387.
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 4887th one is 47389.
- 2
47389 is prime because no prime up to ā47389 ā 217.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4887th prime is close to 4887 Ć ln(4887) ā 41512, and here it is 47389.
- 4
47389 is a twin prime: 47387 and 47389 are both prime.
Primes around the 4887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4884 | 47363 | 10 |
| 4885 | 47381 | 18 |
| 4886 | 47387 | 6 |
| 4887 | 47389 | 2 |
| 4888 | 47407 | 18 |
| 4889 | 47417 | 10 |
| 4890 | 47419 | 2 |
Questions
What is the 4887th prime number?
47389.
Which prime number is 47389?
47389 is the 4887th prime number.
What is the sum of the first 4887 primes?
109,031,364.