What is the 4910th prime number?
The 4910th prime number is 47629. The next prime is 47639 (a gap of 10) and the one before is 47623.
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 4910th one is 47629.
- 2
47629 is prime because no prime up to ā47629 ā 218.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4910th prime is close to 4910 Ć ln(4910) ā 41730, and here it is 47629.
- 4
47629 has no twin: neither 47627 nor 47631 is prime.
Primes around the 4910th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4907 | 47599 | 8 |
| 4908 | 47609 | 10 |
| 4909 | 47623 | 14 |
| 4910 | 47629 | 6 |
| 4911 | 47639 | 10 |
| 4912 | 47653 | 14 |
| 4913 | 47657 | 4 |
Questions
What is the 4910th prime number?
47629.
Which prime number is 47629?
47629 is the 4910th prime number.
What is the sum of the first 4910 primes?
110,124,335.