What is the 4782nd prime number?
The 4782nd prime number is 46229. The next prime is 46237 (a gap of 8) and the one before is 46219.
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 4782nd one is 46229.
- 2
46229 is prime because no prime up to ā46229 ā 215.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4782nd prime is close to 4782 Ć ln(4782) ā 40516, and here it is 46229.
- 4
46229 has no twin: neither 46227 nor 46231 is prime.
Primes around the 4782nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4779 | 46187 | 4 |
| 4780 | 46199 | 12 |
| 4781 | 46219 | 20 |
| 4782 | 46229 | 10 |
| 4783 | 46237 | 8 |
| 4784 | 46261 | 24 |
| 4785 | 46271 | 10 |
Questions
What is the 4782nd prime number?
46229.
Which prime number is 46229?
46229 is the 4782nd prime number.
What is the sum of the first 4782 primes?
104,115,691.