What is the 3602nd prime number?
The 3602nd prime number is 33619. The next prime is 33623 (a gap of 4) and the one before is 33617.
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 3602nd one is 33619.
- 2
33619 is prime because no prime up to ā33619 ā 183.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3602nd prime is close to 3602 Ć ln(3602) ā 29498, and here it is 33619.
- 4
33619 is a twin prime: 33617 and 33619 are both prime.
Primes around the 3602nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3599 | 33601 | 2 |
| 3600 | 33613 | 12 |
| 3601 | 33617 | 4 |
| 3602 | 33619 | 2 |
| 3603 | 33623 | 4 |
| 3604 | 33629 | 6 |
| 3605 | 33637 | 8 |
Questions
What is the 3602nd prime number?
33619.
Which prime number is 33619?
33619 is the 3602nd prime number.
What is the sum of the first 3602 primes?
57,045,083.