What is the 4785th prime number?
The 4785th prime number is 46271. The next prime is 46273 (a gap of 2) and the one before is 46261.
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 4785th one is 46271.
- 2
46271 is prime because no prime up to ā46271 ā 215.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4785th prime is close to 4785 Ć ln(4785) ā 40544, and here it is 46271.
- 4
46271 is a twin prime: 46271 and 46273 are both prime.
Primes around the 4785th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4782 | 46229 | 10 |
| 4783 | 46237 | 8 |
| 4784 | 46261 | 24 |
| 4785 | 46271 | 10 |
| 4786 | 46273 | 2 |
| 4787 | 46279 | 6 |
| 4788 | 46301 | 22 |
Questions
What is the 4785th prime number?
46271.
Which prime number is 46271?
46271 is the 4785th prime number.
What is the sum of the first 4785 primes?
104,254,460.