What is the 3691st prime number?
The 3691st prime number is 34543. The next prime is 34549 (a gap of 6) and the one before is 34537.
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 3691st one is 34543.
- 2
34543 is prime because no prime up to ā34543 ā 185.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3691st prime is close to 3691 Ć ln(3691) ā 30317, and here it is 34543.
- 4
34543 has no twin: neither 34541 nor 34545 is prime.
Primes around the 3691st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3688 | 34513 | 2 |
| 3689 | 34519 | 6 |
| 3690 | 34537 | 18 |
| 3691 | 34543 | 6 |
| 3692 | 34549 | 6 |
| 3693 | 34583 | 34 |
| 3694 | 34589 | 6 |
Questions
What is the 3691st prime number?
34543.
Which prime number is 34543?
34543 is the 3691st prime number.
What is the sum of the first 3691 primes?
60,079,790.