What is the 3530th prime number?
The 3530th prime number is 32939. The next prime is 32941 (a gap of 2) and the one before is 32933.
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 3530th one is 32939.
- 2
32939 is prime because no prime up to ā32939 ā 181.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3530th prime is close to 3530 Ć ln(3530) ā 28837, and here it is 32939.
- 4
32939 is a twin prime: 32939 and 32941 are both prime.
Primes around the 3530th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3527 | 32911 | 2 |
| 3528 | 32917 | 6 |
| 3529 | 32933 | 16 |
| 3530 | 32939 | 6 |
| 3531 | 32941 | 2 |
| 3532 | 32957 | 16 |
| 3533 | 32969 | 12 |
Questions
What is the 3530th prime number?
32939.
Which prime number is 32939?
32939 is the 3530th prime number.
What is the sum of the first 3530 primes?
54,647,997.