What is the 3604th prime number?
The 3604th prime number is 33629. The next prime is 33637 (a gap of 8) and the one before is 33623.
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 3604th one is 33629.
- 2
33629 is prime because no prime up to ā33629 ā 183.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3604th prime is close to 3604 Ć ln(3604) ā 29516, and here it is 33629.
- 4
33629 has no twin: neither 33627 nor 33631 is prime.
Primes around the 3604th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3601 | 33617 | 4 |
| 3602 | 33619 | 2 |
| 3603 | 33623 | 4 |
| 3604 | 33629 | 6 |
| 3605 | 33637 | 8 |
| 3606 | 33641 | 4 |
| 3607 | 33647 | 6 |
Questions
What is the 3604th prime number?
33629.
Which prime number is 33629?
33629 is the 3604th prime number.
What is the sum of the first 3604 primes?
57,112,335.