What is the 4777th prime number?
The 4777th prime number is 46181. The next prime is 46183 (a gap of 2) and the one before is 46171.
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 4777th one is 46181.
- 2
46181 is prime because no prime up to ā46181 ā 214.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4777th prime is close to 4777 Ć ln(4777) ā 40469, and here it is 46181.
- 4
46181 is a twin prime: 46181 and 46183 are both prime.
Primes around the 4777th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4774 | 46147 | 6 |
| 4775 | 46153 | 6 |
| 4776 | 46171 | 18 |
| 4777 | 46181 | 10 |
| 4778 | 46183 | 2 |
| 4779 | 46187 | 4 |
| 4780 | 46199 | 12 |
Questions
What is the 4777th prime number?
46181.
Which prime number is 46181?
46181 is the 4777th prime number.
What is the sum of the first 4777 primes?
103,884,674.