What is the 3696th prime number?
The 3696th prime number is 34603. The next prime is 34607 (a gap of 4) and the one before is 34591.
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 3696th one is 34603.
- 2
34603 is prime because no prime up to ā34603 ā 186.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3696th prime is close to 3696 Ć ln(3696) ā 30363, and here it is 34603.
- 4
34603 has no twin: neither 34601 nor 34605 is prime.
Primes around the 3696th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3693 | 34583 | 34 |
| 3694 | 34589 | 6 |
| 3695 | 34591 | 2 |
| 3696 | 34603 | 12 |
| 3697 | 34607 | 4 |
| 3698 | 34613 | 6 |
| 3699 | 34631 | 18 |
Questions
What is the 3696th prime number?
34603.
Which prime number is 34603?
34603 is the 3696th prime number.
What is the sum of the first 3696 primes?
60,252,705.