What is the 4780th prime number?
The 4780th prime number is 46199. The next prime is 46219 (a gap of 20) and the one before is 46187.
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 4780th one is 46199.
- 2
46199 is prime because no prime up to ā46199 ā 214.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4780th prime is close to 4780 Ć ln(4780) ā 40497, and here it is 46199.
- 4
46199 has no twin: neither 46197 nor 46201 is prime.
Primes around the 4780th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4777 | 46181 | 10 |
| 4778 | 46183 | 2 |
| 4779 | 46187 | 4 |
| 4780 | 46199 | 12 |
| 4781 | 46219 | 20 |
| 4782 | 46229 | 10 |
| 4783 | 46237 | 8 |
Questions
What is the 4780th prime number?
46199.
Which prime number is 46199?
46199 is the 4780th prime number.
What is the sum of the first 4780 primes?
104,023,243.