What is the 4772nd prime number?
The 4772nd prime number is 46133. The next prime is 46141 (a gap of 8) and the one before is 46103.
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 4772nd one is 46133.
- 2
46133 is prime because no prime up to ā46133 ā 214.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4772nd prime is close to 4772 Ć ln(4772) ā 40421, and here it is 46133.
- 4
46133 has no twin: neither 46131 nor 46135 is prime.
Primes around the 4772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4769 | 46093 | 2 |
| 4770 | 46099 | 6 |
| 4771 | 46103 | 4 |
| 4772 | 46133 | 30 |
| 4773 | 46141 | 8 |
| 4774 | 46147 | 6 |
| 4775 | 46153 | 6 |
Questions
What is the 4772nd prime number?
46133.
Which prime number is 46133?
46133 is the 4772nd prime number.
What is the sum of the first 4772 primes?
103,653,881.