What is the 4767th prime number?
The 4767th prime number is 46073. The next prime is 46091 (a gap of 18) and the one before is 46061.
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 4767th one is 46073.
- 2
46073 is prime because no prime up to ā46073 ā 214.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4767th prime is close to 4767 Ć ln(4767) ā 40374, and here it is 46073.
- 4
46073 has no twin: neither 46071 nor 46075 is prime.
Primes around the 4767th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4764 | 46049 | 22 |
| 4765 | 46051 | 2 |
| 4766 | 46061 | 10 |
| 4767 | 46073 | 12 |
| 4768 | 46091 | 18 |
| 4769 | 46093 | 2 |
| 4770 | 46099 | 6 |
Questions
What is the 4767th prime number?
46073.
Which prime number is 46073?
46073 is the 4767th prime number.
What is the sum of the first 4767 primes?
103,423,362.