What is the 4774th prime number?
The 4774th prime number is 46147. The next prime is 46153 (a gap of 6) and the one before is 46141.
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 4774th one is 46147.
- 2
46147 is prime because no prime up to ā46147 ā 214.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4774th prime is close to 4774 Ć ln(4774) ā 40440, and here it is 46147.
- 4
46147 has no twin: neither 46145 nor 46149 is prime.
Primes around the 4774th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4771 | 46103 | 4 |
| 4772 | 46133 | 30 |
| 4773 | 46141 | 8 |
| 4774 | 46147 | 6 |
| 4775 | 46153 | 6 |
| 4776 | 46171 | 18 |
| 4777 | 46181 | 10 |
Questions
What is the 4774th prime number?
46147.
Which prime number is 46147?
46147 is the 4774th prime number.
What is the sum of the first 4774 primes?
103,746,169.