What is the 4787th prime number?
The 4787th prime number is 46279. The next prime is 46301 (a gap of 22) and the one before is 46273.
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 4787th one is 46279.
- 2
46279 is prime because no prime up to ā46279 ā 215.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4787th prime is close to 4787 Ć ln(4787) ā 40563, and here it is 46279.
- 4
46279 has no twin: neither 46277 nor 46281 is prime.
Primes around the 4787th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4784 | 46261 | 24 |
| 4785 | 46271 | 10 |
| 4786 | 46273 | 2 |
| 4787 | 46279 | 6 |
| 4788 | 46301 | 22 |
| 4789 | 46307 | 6 |
| 4790 | 46309 | 2 |
Questions
What is the 4787th prime number?
46279.
Which prime number is 46279?
46279 is the 4787th prime number.
What is the sum of the first 4787 primes?
104,347,012.