What is the 3697th prime number?
The 3697th prime number is 34607. The next prime is 34613 (a gap of 6) and the one before is 34603.
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 3697th one is 34607.
- 2
34607 is prime because no prime up to ā34607 ā 186.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3697th prime is close to 3697 Ć ln(3697) ā 30372, and here it is 34607.
- 4
34607 has no twin: neither 34605 nor 34609 is prime.
Primes around the 3697th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3694 | 34589 | 6 |
| 3695 | 34591 | 2 |
| 3696 | 34603 | 12 |
| 3697 | 34607 | 4 |
| 3698 | 34613 | 6 |
| 3699 | 34631 | 18 |
| 3700 | 34649 | 18 |
Questions
What is the 3697th prime number?
34607.
Which prime number is 34607?
34607 is the 3697th prime number.
What is the sum of the first 3697 primes?
60,287,312.