What is the 3693rd prime number?
The 3693rd prime number is 34583. The next prime is 34589 (a gap of 6) and the one before is 34549.
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 3693rd one is 34583.
- 2
34583 is prime because no prime up to ā34583 ā 185.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3693rd prime is close to 3693 Ć ln(3693) ā 30335, and here it is 34583.
- 4
34583 has no twin: neither 34581 nor 34585 is prime.
Primes around the 3693rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3690 | 34537 | 18 |
| 3691 | 34543 | 6 |
| 3692 | 34549 | 6 |
| 3693 | 34583 | 34 |
| 3694 | 34589 | 6 |
| 3695 | 34591 | 2 |
| 3696 | 34603 | 12 |
Questions
What is the 3693rd prime number?
34583.
Which prime number is 34583?
34583 is the 3693rd prime number.
What is the sum of the first 3693 primes?
60,148,922.