What is the 656th prime number?
The 656th prime number is 4909. The next prime is 4919 (a gap of 10) and the one before is 4903.
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 656th one is 4909.
- 2
4909 is prime because no prime up to ā4909 ā 70.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 656th prime is close to 656 Ć ln(656) ā 4255, and here it is 4909.
- 4
4909 has no twin: neither 4907 nor 4911 is prime.
Primes around the 656th
| Position | Prime | Gap from the previous |
|---|---|---|
| 653 | 4877 | 6 |
| 654 | 4889 | 12 |
| 655 | 4903 | 14 |
| 656 | 4909 | 6 |
| 657 | 4919 | 10 |
| 658 | 4931 | 12 |
| 659 | 4933 | 2 |
Questions
What is the 656th prime number?
4909.
Which prime number is 4909?
4909 is the 656th prime number.
What is the sum of the first 656 primes?
1,483,677.