What is the 4909th prime number?
The 4909th prime number is 47623. The next prime is 47629 (a gap of 6) and the one before is 47609.
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 4909th one is 47623.
- 2
47623 is prime because no prime up to ā47623 ā 218.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4909th prime is close to 4909 Ć ln(4909) ā 41721, and here it is 47623.
- 4
47623 has no twin: neither 47621 nor 47625 is prime.
Primes around the 4909th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4906 | 47591 | 10 |
| 4907 | 47599 | 8 |
| 4908 | 47609 | 10 |
| 4909 | 47623 | 14 |
| 4910 | 47629 | 6 |
| 4911 | 47639 | 10 |
| 4912 | 47653 | 14 |
Questions
What is the 4909th prime number?
47623.
Which prime number is 47623?
47623 is the 4909th prime number.
What is the sum of the first 4909 primes?
110,076,706.