What is the 3606th prime number?
The 3606th prime number is 33641. The next prime is 33647 (a gap of 6) and the one before is 33637.
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 3606th one is 33641.
- 2
33641 is prime because no prime up to ā33641 ā 183.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3606th prime is close to 3606 Ć ln(3606) ā 29534, and here it is 33641.
- 4
33641 has no twin: neither 33639 nor 33643 is prime.
Primes around the 3606th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3603 | 33623 | 4 |
| 3604 | 33629 | 6 |
| 3605 | 33637 | 8 |
| 3606 | 33641 | 4 |
| 3607 | 33647 | 6 |
| 3608 | 33679 | 32 |
| 3609 | 33703 | 24 |
Questions
What is the 3606th prime number?
33641.
Which prime number is 33641?
33641 is the 3606th prime number.
What is the sum of the first 3606 primes?
57,179,613.