What is the 3666th prime number?
The 3666th prime number is 34303. The next prime is 34313 (a gap of 10) and the one before is 34301.
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 3666th one is 34303.
- 2
34303 is prime because no prime up to ā34303 ā 185.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3666th prime is close to 3666 Ć ln(3666) ā 30086, and here it is 34303.
- 4
34303 is a twin prime: 34301 and 34303 are both prime.
Primes around the 3666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3663 | 34283 | 10 |
| 3664 | 34297 | 14 |
| 3665 | 34301 | 4 |
| 3666 | 34303 | 2 |
| 3667 | 34313 | 10 |
| 3668 | 34319 | 6 |
| 3669 | 34327 | 8 |
Questions
What is the 3666th prime number?
34303.
Which prime number is 34303?
34303 is the 3666th prime number.
What is the sum of the first 3666 primes?
59,218,983.