What is the 4779th prime number?
The 4779th prime number is 46187. The next prime is 46199 (a gap of 12) and the one before is 46183.
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 4779th one is 46187.
- 2
46187 is prime because no prime up to ā46187 ā 214.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4779th prime is close to 4779 Ć ln(4779) ā 40488, and here it is 46187.
- 4
46187 has no twin: neither 46185 nor 46189 is prime.
Primes around the 4779th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4776 | 46171 | 18 |
| 4777 | 46181 | 10 |
| 4778 | 46183 | 2 |
| 4779 | 46187 | 4 |
| 4780 | 46199 | 12 |
| 4781 | 46219 | 20 |
| 4782 | 46229 | 10 |
Questions
What is the 4779th prime number?
46187.
Which prime number is 46187?
46187 is the 4779th prime number.
What is the sum of the first 4779 primes?
103,977,044.