What is the 4907th prime number?
The 4907th prime number is 47599. The next prime is 47609 (a gap of 10) and the one before is 47591.
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 4907th one is 47599.
- 2
47599 is prime because no prime up to ā47599 ā 218.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4907th prime is close to 4907 Ć ln(4907) ā 41702, and here it is 47599.
- 4
47599 has no twin: neither 47597 nor 47601 is prime.
Primes around the 4907th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4904 | 47569 | 6 |
| 4905 | 47581 | 12 |
| 4906 | 47591 | 10 |
| 4907 | 47599 | 8 |
| 4908 | 47609 | 10 |
| 4909 | 47623 | 14 |
| 4910 | 47629 | 6 |
Questions
What is the 4907th prime number?
47599.
Which prime number is 47599?
47599 is the 4907th prime number.
What is the sum of the first 4907 primes?
109,981,474.