What is the 3692nd prime number?
The 3692nd prime number is 34549. The next prime is 34583 (a gap of 34) and the one before is 34543.
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 3692nd one is 34549.
- 2
34549 is prime because no prime up to ā34549 ā 185.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3692nd prime is close to 3692 Ć ln(3692) ā 30326, and here it is 34549.
- 4
34549 has no twin: neither 34547 nor 34551 is prime.
Primes around the 3692nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3689 | 34519 | 6 |
| 3690 | 34537 | 18 |
| 3691 | 34543 | 6 |
| 3692 | 34549 | 6 |
| 3693 | 34583 | 34 |
| 3694 | 34589 | 6 |
| 3695 | 34591 | 2 |
Questions
What is the 3692nd prime number?
34549.
Which prime number is 34549?
34549 is the 3692nd prime number.
What is the sum of the first 3692 primes?
60,114,339.