What is the 3605th prime number?
The 3605th prime number is 33637. The next prime is 33641 (a gap of 4) and the one before is 33629.
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 3605th one is 33637.
- 2
33637 is prime because no prime up to ā33637 ā 183.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3605th prime is close to 3605 Ć ln(3605) ā 29525, and here it is 33637.
- 4
33637 has no twin: neither 33635 nor 33639 is prime.
Primes around the 3605th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3602 | 33619 | 2 |
| 3603 | 33623 | 4 |
| 3604 | 33629 | 6 |
| 3605 | 33637 | 8 |
| 3606 | 33641 | 4 |
| 3607 | 33647 | 6 |
| 3608 | 33679 | 32 |
Questions
What is the 3605th prime number?
33637.
Which prime number is 33637?
33637 is the 3605th prime number.
What is the sum of the first 3605 primes?
57,145,972.