What is the 4881st prime number?
The 4881st prime number is 47339. The next prime is 47351 (a gap of 12) and the one before is 47317.
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 4881st one is 47339.
- 2
47339 is prime because no prime up to ā47339 ā 217.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4881st prime is close to 4881 Ć ln(4881) ā 41455, and here it is 47339.
- 4
47339 has no twin: neither 47337 nor 47341 is prime.
Primes around the 4881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4878 | 47303 | 6 |
| 4879 | 47309 | 6 |
| 4880 | 47317 | 8 |
| 4881 | 47339 | 22 |
| 4882 | 47351 | 12 |
| 4883 | 47353 | 2 |
| 4884 | 47363 | 10 |
Questions
What is the 4881st prime number?
47339.
Which prime number is 47339?
47339 is the 4881st prime number.
What is the sum of the first 4881 primes?
108,747,140.