What is the 4908th prime number?
The 4908th prime number is 47609. The next prime is 47623 (a gap of 14) and the one before is 47599.
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 4908th one is 47609.
- 2
47609 is prime because no prime up to ā47609 ā 218.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4908th prime is close to 4908 Ć ln(4908) ā 41711, and here it is 47609.
- 4
47609 has no twin: neither 47607 nor 47611 is prime.
Primes around the 4908th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4905 | 47581 | 12 |
| 4906 | 47591 | 10 |
| 4907 | 47599 | 8 |
| 4908 | 47609 | 10 |
| 4909 | 47623 | 14 |
| 4910 | 47629 | 6 |
| 4911 | 47639 | 10 |
Questions
What is the 4908th prime number?
47609.
Which prime number is 47609?
47609 is the 4908th prime number.
What is the sum of the first 4908 primes?
110,029,083.