What is the 4776th prime number?
The 4776th prime number is 46171. The next prime is 46181 (a gap of 10) and the one before is 46153.
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 4776th one is 46171.
- 2
46171 is prime because no prime up to ā46171 ā 214.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4776th prime is close to 4776 Ć ln(4776) ā 40459, and here it is 46171.
- 4
46171 has no twin: neither 46169 nor 46173 is prime.
Primes around the 4776th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4773 | 46141 | 8 |
| 4774 | 46147 | 6 |
| 4775 | 46153 | 6 |
| 4776 | 46171 | 18 |
| 4777 | 46181 | 10 |
| 4778 | 46183 | 2 |
| 4779 | 46187 | 4 |
Questions
What is the 4776th prime number?
46171.
Which prime number is 46171?
46171 is the 4776th prime number.
What is the sum of the first 4776 primes?
103,838,493.