What is the 4751st prime number?
The 4751st prime number is 45863. The next prime is 45869 (a gap of 6) and the one before is 45853.
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 4751st one is 45863.
- 2
45863 is prime because no prime up to ā45863 ā 214.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4751st prime is close to 4751 Ć ln(4751) ā 40222, and here it is 45863.
- 4
45863 has no twin: neither 45861 nor 45865 is prime.
Primes around the 4751st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4748 | 45833 | 6 |
| 4749 | 45841 | 8 |
| 4750 | 45853 | 12 |
| 4751 | 45863 | 10 |
| 4752 | 45869 | 6 |
| 4753 | 45887 | 18 |
| 4754 | 45893 | 6 |
Questions
What is the 4751st prime number?
45863.
Which prime number is 45863?
45863 is the 4751st prime number.
What is the sum of the first 4751 primes?
102,687,688.