What is the 4880th prime number?
The 4880th prime number is 47317. The next prime is 47339 (a gap of 22) and the one before is 47309.
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 4880th one is 47317.
- 2
47317 is prime because no prime up to ā47317 ā 217.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4880th prime is close to 4880 Ć ln(4880) ā 41445, and here it is 47317.
- 4
47317 has no twin: neither 47315 nor 47319 is prime.
Primes around the 4880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4877 | 47297 | 4 |
| 4878 | 47303 | 6 |
| 4879 | 47309 | 6 |
| 4880 | 47317 | 8 |
| 4881 | 47339 | 22 |
| 4882 | 47351 | 12 |
| 4883 | 47353 | 2 |
Questions
What is the 4880th prime number?
47317.
Which prime number is 47317?
47317 is the 4880th prime number.
What is the sum of the first 4880 primes?
108,699,801.