What is the 655th prime number?
The 655th prime number is 4903. The next prime is 4909 (a gap of 6) and the one before is 4889.
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 655th one is 4903.
- 2
4903 is prime because no prime up to ā4903 ā 70.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 655th prime is close to 655 Ć ln(655) ā 4247, and here it is 4903.
- 4
4903 has no twin: neither 4901 nor 4905 is prime.
Primes around the 655th
| Position | Prime | Gap from the previous |
|---|---|---|
| 652 | 4871 | 10 |
| 653 | 4877 | 6 |
| 654 | 4889 | 12 |
| 655 | 4903 | 14 |
| 656 | 4909 | 6 |
| 657 | 4919 | 10 |
| 658 | 4931 | 12 |
Questions
What is the 655th prime number?
4903.
Which prime number is 4903?
4903 is the 655th prime number.
What is the sum of the first 655 primes?
1,478,768.