What is the 3607th prime number?
The 3607th prime number is 33647. The next prime is 33679 (a gap of 32) and the one before is 33641.
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 3607th one is 33647.
- 2
33647 is prime because no prime up to ā33647 ā 183.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3607th prime is close to 3607 Ć ln(3607) ā 29544, and here it is 33647.
- 4
33647 has no twin: neither 33645 nor 33649 is prime.
Primes around the 3607th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3604 | 33629 | 6 |
| 3605 | 33637 | 8 |
| 3606 | 33641 | 4 |
| 3607 | 33647 | 6 |
| 3608 | 33679 | 32 |
| 3609 | 33703 | 24 |
| 3610 | 33713 | 10 |
Questions
What is the 3607th prime number?
33647.
Which prime number is 33647?
33647 is the 3607th prime number.
What is the sum of the first 3607 primes?
57,213,260.