What is the 4788th prime number?
The 4788th prime number is 46301. The next prime is 46307 (a gap of 6) and the one before is 46279.
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 4788th one is 46301.
- 2
46301 is prime because no prime up to ā46301 ā 215.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4788th prime is close to 4788 Ć ln(4788) ā 40573, and here it is 46301.
- 4
46301 has no twin: neither 46299 nor 46303 is prime.
Primes around the 4788th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4785 | 46271 | 10 |
| 4786 | 46273 | 2 |
| 4787 | 46279 | 6 |
| 4788 | 46301 | 22 |
| 4789 | 46307 | 6 |
| 4790 | 46309 | 2 |
| 4791 | 46327 | 18 |
Questions
What is the 4788th prime number?
46301.
Which prime number is 46301?
46301 is the 4788th prime number.
What is the sum of the first 4788 primes?
104,393,313.