What is the 654th prime number?
The 654th prime number is 4889. The next prime is 4903 (a gap of 14) and the one before is 4877.
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 654th one is 4889.
- 2
4889 is prime because no prime up to ā4889 ā 69.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 654th prime is close to 654 Ć ln(654) ā 4240, and here it is 4889.
- 4
4889 has no twin: neither 4887 nor 4891 is prime.
Primes around the 654th
| Position | Prime | Gap from the previous |
|---|---|---|
| 651 | 4861 | 30 |
| 652 | 4871 | 10 |
| 653 | 4877 | 6 |
| 654 | 4889 | 12 |
| 655 | 4903 | 14 |
| 656 | 4909 | 6 |
| 657 | 4919 | 10 |
Questions
What is the 654th prime number?
4889.
Which prime number is 4889?
4889 is the 654th prime number.
What is the sum of the first 654 primes?
1,473,865.