What is the 4883rd prime number?
The 4883rd prime number is 47353. The next prime is 47363 (a gap of 10) and the one before is 47351.
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 4883rd one is 47353.
- 2
47353 is prime because no prime up to ā47353 ā 217.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4883rd prime is close to 4883 Ć ln(4883) ā 41474, and here it is 47353.
- 4
47353 is a twin prime: 47351 and 47353 are both prime.
Primes around the 4883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4880 | 47317 | 8 |
| 4881 | 47339 | 22 |
| 4882 | 47351 | 12 |
| 4883 | 47353 | 2 |
| 4884 | 47363 | 10 |
| 4885 | 47381 | 18 |
| 4886 | 47387 | 6 |
Questions
What is the 4883rd prime number?
47353.
Which prime number is 47353?
47353 is the 4883rd prime number.
What is the sum of the first 4883 primes?
108,841,844.