What is the 4775th prime number?
The 4775th prime number is 46153. The next prime is 46171 (a gap of 18) and the one before is 46147.
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 4775th one is 46153.
- 2
46153 is prime because no prime up to ā46153 ā 214.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4775th prime is close to 4775 Ć ln(4775) ā 40450, and here it is 46153.
- 4
46153 has no twin: neither 46151 nor 46155 is prime.
Primes around the 4775th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4772 | 46133 | 30 |
| 4773 | 46141 | 8 |
| 4774 | 46147 | 6 |
| 4775 | 46153 | 6 |
| 4776 | 46171 | 18 |
| 4777 | 46181 | 10 |
| 4778 | 46183 | 2 |
Questions
What is the 4775th prime number?
46153.
Which prime number is 46153?
46153 is the 4775th prime number.
What is the sum of the first 4775 primes?
103,792,322.