What is the 653rd prime number?
The 653rd prime number is 4877. The next prime is 4889 (a gap of 12) and the one before is 4871.
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 653rd one is 4877.
- 2
4877 is prime because no prime up to ā4877 ā 69.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 653rd prime is close to 653 Ć ln(653) ā 4232, and here it is 4877.
- 4
4877 has no twin: neither 4875 nor 4879 is prime.
Primes around the 653rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 650 | 4831 | 14 |
| 651 | 4861 | 30 |
| 652 | 4871 | 10 |
| 653 | 4877 | 6 |
| 654 | 4889 | 12 |
| 655 | 4903 | 14 |
| 656 | 4909 | 6 |
Questions
What is the 653rd prime number?
4877.
Which prime number is 4877?
4877 is the 653rd prime number.
What is the sum of the first 653 primes?
1,468,976.