What is the 4905th prime number?
The 4905th prime number is 47581. The next prime is 47591 (a gap of 10) and the one before is 47569.
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 4905th one is 47581.
- 2
47581 is prime because no prime up to ā47581 ā 218.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4905th prime is close to 4905 Ć ln(4905) ā 41683, and here it is 47581.
- 4
47581 has no twin: neither 47579 nor 47583 is prime.
Primes around the 4905th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4902 | 47543 | 10 |
| 4903 | 47563 | 20 |
| 4904 | 47569 | 6 |
| 4905 | 47581 | 12 |
| 4906 | 47591 | 10 |
| 4907 | 47599 | 8 |
| 4908 | 47609 | 10 |
Questions
What is the 4905th prime number?
47581.
Which prime number is 47581?
47581 is the 4905th prime number.
What is the sum of the first 4905 primes?
109,886,284.