What is the 4765th prime number?
The 4765th prime number is 46051. The next prime is 46061 (a gap of 10) and the one before is 46049.
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 4765th one is 46051.
- 2
46051 is prime because no prime up to ā46051 ā 214.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4765th prime is close to 4765 Ć ln(4765) ā 40355, and here it is 46051.
- 4
46051 is a twin prime: 46049 and 46051 are both prime.
Primes around the 4765th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4762 | 46021 | 32 |
| 4763 | 46027 | 6 |
| 4764 | 46049 | 22 |
| 4765 | 46051 | 2 |
| 4766 | 46061 | 10 |
| 4767 | 46073 | 12 |
| 4768 | 46091 | 18 |
Questions
What is the 4765th prime number?
46051.
Which prime number is 46051?
46051 is the 4765th prime number.
What is the sum of the first 4765 primes?
103,331,228.