What is the 4885th prime number?
The 4885th prime number is 47381. The next prime is 47387 (a gap of 6) and the one before is 47363.
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 4885th one is 47381.
- 2
47381 is prime because no prime up to ā47381 ā 217.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4885th prime is close to 4885 Ć ln(4885) ā 41493, and here it is 47381.
- 4
47381 has no twin: neither 47379 nor 47383 is prime.
Primes around the 4885th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4882 | 47351 | 12 |
| 4883 | 47353 | 2 |
| 4884 | 47363 | 10 |
| 4885 | 47381 | 18 |
| 4886 | 47387 | 6 |
| 4887 | 47389 | 2 |
| 4888 | 47407 | 18 |
Questions
What is the 4885th prime number?
47381.
Which prime number is 47381?
47381 is the 4885th prime number.
What is the sum of the first 4885 primes?
108,936,588.