What is the 4741st prime number?
The 4741st prime number is 45763. The next prime is 45767 (a gap of 4) and the one before is 45757.
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 4741st one is 45763.
- 2
45763 is prime because no prime up to ā45763 ā 213.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4741st prime is close to 4741 Ć ln(4741) ā 40128, and here it is 45763.
- 4
45763 has no twin: neither 45761 nor 45765 is prime.
Primes around the 4741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4738 | 45737 | 30 |
| 4739 | 45751 | 14 |
| 4740 | 45757 | 6 |
| 4741 | 45763 | 6 |
| 4742 | 45767 | 4 |
| 4743 | 45779 | 12 |
| 4744 | 45817 | 38 |
Questions
What is the 4741st prime number?
45763.
Which prime number is 45763?
45763 is the 4741st prime number.
What is the sum of the first 4741 primes?
102,229,464.