What is the 602nd prime number?
The 602nd prime number is 4423. The next prime is 4441 (a gap of 18) and the one before is 4421.
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 602nd one is 4423.
- 2
4423 is prime because no prime up to ā4423 ā 66.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 602nd prime is close to 602 Ć ln(602) ā 3853, and here it is 4423.
- 4
4423 is a twin prime: 4421 and 4423 are both prime.
Primes around the 602nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 599 | 4397 | 6 |
| 600 | 4409 | 12 |
| 601 | 4421 | 12 |
| 602 | 4423 | 2 |
| 603 | 4441 | 18 |
| 604 | 4447 | 6 |
| 605 | 4451 | 4 |
Questions
What is the 602nd prime number?
4423.
Which prime number is 4423?
4423 is the 602nd prime number.
What is the sum of the first 602 primes?
1,231,939.