What is the 4882nd prime number?
The 4882nd prime number is 47351. The next prime is 47353 (a gap of 2) and the one before is 47339.
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 4882nd one is 47351.
- 2
47351 is prime because no prime up to ā47351 ā 217.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4882nd prime is close to 4882 Ć ln(4882) ā 41464, and here it is 47351.
- 4
47351 is a twin prime: 47351 and 47353 are both prime.
Primes around the 4882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4879 | 47309 | 6 |
| 4880 | 47317 | 8 |
| 4881 | 47339 | 22 |
| 4882 | 47351 | 12 |
| 4883 | 47353 | 2 |
| 4884 | 47363 | 10 |
| 4885 | 47381 | 18 |
Questions
What is the 4882nd prime number?
47351.
Which prime number is 47351?
47351 is the 4882nd prime number.
What is the sum of the first 4882 primes?
108,794,491.