What is the 3668th prime number?
The 3668th prime number is 34319. The next prime is 34327 (a gap of 8) and the one before is 34313.
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 3668th one is 34319.
- 2
34319 is prime because no prime up to ā34319 ā 185.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3668th prime is close to 3668 Ć ln(3668) ā 30105, and here it is 34319.
- 4
34319 has no twin: neither 34317 nor 34321 is prime.
Primes around the 3668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3665 | 34301 | 4 |
| 3666 | 34303 | 2 |
| 3667 | 34313 | 10 |
| 3668 | 34319 | 6 |
| 3669 | 34327 | 8 |
| 3670 | 34337 | 10 |
| 3671 | 34351 | 14 |
Questions
What is the 3668th prime number?
34319.
Which prime number is 34319?
34319 is the 3668th prime number.
What is the sum of the first 3668 primes?
59,287,615.