What is the 4915th prime number?
The 4915th prime number is 47681. The next prime is 47699 (a gap of 18) and the one before is 47659.
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 4915th one is 47681.
- 2
47681 is prime because no prime up to ā47681 ā 218.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4915th prime is close to 4915 Ć ln(4915) ā 41778, and here it is 47681.
- 4
47681 has no twin: neither 47679 nor 47683 is prime.
Primes around the 4915th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4912 | 47653 | 14 |
| 4913 | 47657 | 4 |
| 4914 | 47659 | 2 |
| 4915 | 47681 | 22 |
| 4916 | 47699 | 18 |
| 4917 | 47701 | 2 |
| 4918 | 47711 | 10 |
Questions
What is the 4915th prime number?
47681.
Which prime number is 47681?
47681 is the 4915th prime number.
What is the sum of the first 4915 primes?
110,362,624.