What is the 4786th prime number?
The 4786th prime number is 46273. The next prime is 46279 (a gap of 6) and the one before is 46271.
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 4786th one is 46273.
- 2
46273 is prime because no prime up to ā46273 ā 215.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4786th prime is close to 4786 Ć ln(4786) ā 40554, and here it is 46273.
- 4
46273 is a twin prime: 46271 and 46273 are both prime.
Primes around the 4786th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4783 | 46237 | 8 |
| 4784 | 46261 | 24 |
| 4785 | 46271 | 10 |
| 4786 | 46273 | 2 |
| 4787 | 46279 | 6 |
| 4788 | 46301 | 22 |
| 4789 | 46307 | 6 |
Questions
What is the 4786th prime number?
46273.
Which prime number is 46273?
46273 is the 4786th prime number.
What is the sum of the first 4786 primes?
104,300,733.