What is the 606th prime number?
The 606th prime number is 4457. The next prime is 4463 (a gap of 6) and the one before is 4451.
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 606th one is 4457.
- 2
4457 is prime because no prime up to ā4457 ā 66.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 606th prime is close to 606 Ć ln(606) ā 3883, and here it is 4457.
- 4
4457 has no twin: neither 4455 nor 4459 is prime.
Primes around the 606th
| Position | Prime | Gap from the previous |
|---|---|---|
| 603 | 4441 | 18 |
| 604 | 4447 | 6 |
| 605 | 4451 | 4 |
| 606 | 4457 | 6 |
| 607 | 4463 | 6 |
| 608 | 4481 | 18 |
| 609 | 4483 | 2 |
Questions
What is the 606th prime number?
4457.
Which prime number is 4457?
4457 is the 606th prime number.
What is the sum of the first 606 primes?
1,249,735.