What is the 3673rd prime number?
The 3673rd prime number is 34367. The next prime is 34369 (a gap of 2) and the one before is 34361.
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 3673rd one is 34367.
- 2
34367 is prime because no prime up to ā34367 ā 185.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3673rd prime is close to 3673 Ć ln(3673) ā 30151, and here it is 34367.
- 4
34367 is a twin prime: 34367 and 34369 are both prime.
Primes around the 3673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3670 | 34337 | 10 |
| 3671 | 34351 | 14 |
| 3672 | 34361 | 10 |
| 3673 | 34367 | 6 |
| 3674 | 34369 | 2 |
| 3675 | 34381 | 12 |
| 3676 | 34403 | 22 |
Questions
What is the 3673rd prime number?
34367.
Which prime number is 34367?
34367 is the 3673rd prime number.
What is the sum of the first 3673 primes?
59,459,358.