What is the 3533rd prime number?
The 3533rd prime number is 32969. The next prime is 32971 (a gap of 2) and the one before is 32957.
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 3533rd one is 32969.
- 2
32969 is prime because no prime up to ā32969 ā 181.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3533rd prime is close to 3533 Ć ln(3533) ā 28864, and here it is 32969.
- 4
32969 is a twin prime: 32969 and 32971 are both prime.
Primes around the 3533rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3530 | 32939 | 6 |
| 3531 | 32941 | 2 |
| 3532 | 32957 | 16 |
| 3533 | 32969 | 12 |
| 3534 | 32971 | 2 |
| 3535 | 32983 | 12 |
| 3536 | 32987 | 4 |
Questions
What is the 3533rd prime number?
32969.
Which prime number is 32969?
32969 is the 3533rd prime number.
What is the sum of the first 3533 primes?
54,746,864.