What is the 4742nd prime number?
The 4742nd prime number is 45767. The next prime is 45779 (a gap of 12) and the one before is 45763.
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 4742nd one is 45767.
- 2
45767 is prime because no prime up to ā45767 ā 213.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4742nd prime is close to 4742 Ć ln(4742) ā 40137, and here it is 45767.
- 4
45767 has no twin: neither 45765 nor 45769 is prime.
Primes around the 4742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4739 | 45751 | 14 |
| 4740 | 45757 | 6 |
| 4741 | 45763 | 6 |
| 4742 | 45767 | 4 |
| 4743 | 45779 | 12 |
| 4744 | 45817 | 38 |
| 4745 | 45821 | 4 |
Questions
What is the 4742nd prime number?
45767.
Which prime number is 45767?
45767 is the 4742nd prime number.
What is the sum of the first 4742 primes?
102,275,231.