What is the 4768th prime number?
The 4768th prime number is 46091. The next prime is 46093 (a gap of 2) and the one before is 46073.
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 4768th one is 46091.
- 2
46091 is prime because no prime up to ā46091 ā 214.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4768th prime is close to 4768 Ć ln(4768) ā 40383, and here it is 46091.
- 4
46091 is a twin prime: 46091 and 46093 are both prime.
Primes around the 4768th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4765 | 46051 | 2 |
| 4766 | 46061 | 10 |
| 4767 | 46073 | 12 |
| 4768 | 46091 | 18 |
| 4769 | 46093 | 2 |
| 4770 | 46099 | 6 |
| 4771 | 46103 | 4 |
Questions
What is the 4768th prime number?
46091.
Which prime number is 46091?
46091 is the 4768th prime number.
What is the sum of the first 4768 primes?
103,469,453.