What is the 4911th prime number?
The 4911th prime number is 47639. The next prime is 47653 (a gap of 14) and the one before is 47629.
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 4911th one is 47639.
- 2
47639 is prime because no prime up to ā47639 ā 218.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4911th prime is close to 4911 Ć ln(4911) ā 41740, and here it is 47639.
- 4
47639 has no twin: neither 47637 nor 47641 is prime.
Primes around the 4911th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4908 | 47609 | 10 |
| 4909 | 47623 | 14 |
| 4910 | 47629 | 6 |
| 4911 | 47639 | 10 |
| 4912 | 47653 | 14 |
| 4913 | 47657 | 4 |
| 4914 | 47659 | 2 |
Questions
What is the 4911th prime number?
47639.
Which prime number is 47639?
47639 is the 4911th prime number.
What is the sum of the first 4911 primes?
110,171,974.