What is the 4773rd prime number?
The 4773rd prime number is 46141. The next prime is 46147 (a gap of 6) and the one before is 46133.
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 4773rd one is 46141.
- 2
46141 is prime because no prime up to ā46141 ā 214.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4773rd prime is close to 4773 Ć ln(4773) ā 40431, and here it is 46141.
- 4
46141 has no twin: neither 46139 nor 46143 is prime.
Primes around the 4773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4770 | 46099 | 6 |
| 4771 | 46103 | 4 |
| 4772 | 46133 | 30 |
| 4773 | 46141 | 8 |
| 4774 | 46147 | 6 |
| 4775 | 46153 | 6 |
| 4776 | 46171 | 18 |
Questions
What is the 4773rd prime number?
46141.
Which prime number is 46141?
46141 is the 4773rd prime number.
What is the sum of the first 4773 primes?
103,700,022.