What is the 3669th prime number?
The 3669th prime number is 34327. The next prime is 34337 (a gap of 10) and the one before is 34319.
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 3669th one is 34327.
- 2
34327 is prime because no prime up to ā34327 ā 185.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3669th prime is close to 3669 Ć ln(3669) ā 30114, and here it is 34327.
- 4
34327 has no twin: neither 34325 nor 34329 is prime.
Primes around the 3669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3666 | 34303 | 2 |
| 3667 | 34313 | 10 |
| 3668 | 34319 | 6 |
| 3669 | 34327 | 8 |
| 3670 | 34337 | 10 |
| 3671 | 34351 | 14 |
| 3672 | 34361 | 10 |
Questions
What is the 3669th prime number?
34327.
Which prime number is 34327?
34327 is the 3669th prime number.
What is the sum of the first 3669 primes?
59,321,942.