What is the 4884th prime number?
The 4884th prime number is 47363. The next prime is 47381 (a gap of 18) and the one before is 47353.
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 4884th one is 47363.
- 2
47363 is prime because no prime up to ā47363 ā 217.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4884th prime is close to 4884 Ć ln(4884) ā 41483, and here it is 47363.
- 4
47363 has no twin: neither 47361 nor 47365 is prime.
Primes around the 4884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4881 | 47339 | 22 |
| 4882 | 47351 | 12 |
| 4883 | 47353 | 2 |
| 4884 | 47363 | 10 |
| 4885 | 47381 | 18 |
| 4886 | 47387 | 6 |
| 4887 | 47389 | 2 |
Questions
What is the 4884th prime number?
47363.
Which prime number is 47363?
47363 is the 4884th prime number.
What is the sum of the first 4884 primes?
108,889,207.