What is the 3674th prime number?
The 3674th prime number is 34369. The next prime is 34381 (a gap of 12) and the one before is 34367.
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 3674th one is 34369.
- 2
34369 is prime because no prime up to ā34369 ā 185.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3674th prime is close to 3674 Ć ln(3674) ā 30160, and here it is 34369.
- 4
34369 is a twin prime: 34367 and 34369 are both prime.
Primes around the 3674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3671 | 34351 | 14 |
| 3672 | 34361 | 10 |
| 3673 | 34367 | 6 |
| 3674 | 34369 | 2 |
| 3675 | 34381 | 12 |
| 3676 | 34403 | 22 |
| 3677 | 34421 | 18 |
Questions
What is the 3674th prime number?
34369.
Which prime number is 34369?
34369 is the 3674th prime number.
What is the sum of the first 3674 primes?
59,493,727.