What is the 4753rd prime number?
The 4753rd prime number is 45887. The next prime is 45893 (a gap of 6) and the one before is 45869.
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 4753rd one is 45887.
- 2
45887 is prime because no prime up to ā45887 ā 214.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4753rd prime is close to 4753 Ć ln(4753) ā 40241, and here it is 45887.
- 4
45887 has no twin: neither 45885 nor 45889 is prime.
Primes around the 4753rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4750 | 45853 | 12 |
| 4751 | 45863 | 10 |
| 4752 | 45869 | 6 |
| 4753 | 45887 | 18 |
| 4754 | 45893 | 6 |
| 4755 | 45943 | 50 |
| 4756 | 45949 | 6 |
Questions
What is the 4753rd prime number?
45887.
Which prime number is 45887?
45887 is the 4753rd prime number.
What is the sum of the first 4753 primes?
102,779,444.