What is the 4766th prime number?
The 4766th prime number is 46061. The next prime is 46073 (a gap of 12) and the one before is 46051.
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 4766th one is 46061.
- 2
46061 is prime because no prime up to ā46061 ā 214.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4766th prime is close to 4766 Ć ln(4766) ā 40365, and here it is 46061.
- 4
46061 has no twin: neither 46059 nor 46063 is prime.
Primes around the 4766th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4763 | 46027 | 6 |
| 4764 | 46049 | 22 |
| 4765 | 46051 | 2 |
| 4766 | 46061 | 10 |
| 4767 | 46073 | 12 |
| 4768 | 46091 | 18 |
| 4769 | 46093 | 2 |
Questions
What is the 4766th prime number?
46061.
Which prime number is 46061?
46061 is the 4766th prime number.
What is the sum of the first 4766 primes?
103,377,289.