What is the 3663rd prime number?
The 3663rd prime number is 34283. The next prime is 34297 (a gap of 14) and the one before is 34273.
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 3663rd one is 34283.
- 2
34283 is prime because no prime up to ā34283 ā 185.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3663rd prime is close to 3663 Ć ln(3663) ā 30059, and here it is 34283.
- 4
34283 has no twin: neither 34281 nor 34285 is prime.
Primes around the 3663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3660 | 34261 | 2 |
| 3661 | 34267 | 6 |
| 3662 | 34273 | 6 |
| 3663 | 34283 | 10 |
| 3664 | 34297 | 14 |
| 3665 | 34301 | 4 |
| 3666 | 34303 | 2 |
Questions
What is the 3663rd prime number?
34283.
Which prime number is 34283?
34283 is the 3663rd prime number.
What is the sum of the first 3663 primes?
59,116,082.