What is the 605th prime number?
The 605th prime number is 4451. The next prime is 4457 (a gap of 6) and the one before is 4447.
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 605th one is 4451.
- 2
4451 is prime because no prime up to ā4451 ā 66.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 605th prime is close to 605 Ć ln(605) ā 3875, and here it is 4451.
- 4
4451 has no twin: neither 4449 nor 4453 is prime.
Primes around the 605th
| Position | Prime | Gap from the previous |
|---|---|---|
| 602 | 4423 | 2 |
| 603 | 4441 | 18 |
| 604 | 4447 | 6 |
| 605 | 4451 | 4 |
| 606 | 4457 | 6 |
| 607 | 4463 | 6 |
| 608 | 4481 | 18 |
Questions
What is the 605th prime number?
4451.
Which prime number is 4451?
4451 is the 605th prime number.
What is the sum of the first 605 primes?
1,245,278.