What is the 4784th prime number?
The 4784th prime number is 46261. The next prime is 46271 (a gap of 10) and the one before is 46237.
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 4784th one is 46261.
- 2
46261 is prime because no prime up to ā46261 ā 215.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4784th prime is close to 4784 Ć ln(4784) ā 40535, and here it is 46261.
- 4
46261 has no twin: neither 46259 nor 46263 is prime.
Primes around the 4784th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4781 | 46219 | 20 |
| 4782 | 46229 | 10 |
| 4783 | 46237 | 8 |
| 4784 | 46261 | 24 |
| 4785 | 46271 | 10 |
| 4786 | 46273 | 2 |
| 4787 | 46279 | 6 |
Questions
What is the 4784th prime number?
46261.
Which prime number is 46261?
46261 is the 4784th prime number.
What is the sum of the first 4784 primes?
104,208,189.