What is the 4763rd prime number?
The 4763rd prime number is 46027. The next prime is 46049 (a gap of 22) and the one before is 46021.
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 4763rd one is 46027.
- 2
46027 is prime because no prime up to ā46027 ā 214.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4763rd prime is close to 4763 Ć ln(4763) ā 40336, and here it is 46027.
- 4
46027 has no twin: neither 46025 nor 46029 is prime.
Primes around the 4763rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4760 | 45979 | 8 |
| 4761 | 45989 | 10 |
| 4762 | 46021 | 32 |
| 4763 | 46027 | 6 |
| 4764 | 46049 | 22 |
| 4765 | 46051 | 2 |
| 4766 | 46061 | 10 |
Questions
What is the 4763rd prime number?
46027.
Which prime number is 46027?
46027 is the 4763rd prime number.
What is the sum of the first 4763 primes?
103,239,128.