What is the 3532nd prime number?
The 3532nd prime number is 32957. The next prime is 32969 (a gap of 12) and the one before is 32941.
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 3532nd one is 32957.
- 2
32957 is prime because no prime up to ā32957 ā 181.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3532nd prime is close to 3532 Ć ln(3532) ā 28855, and here it is 32957.
- 4
32957 has no twin: neither 32955 nor 32959 is prime.
Primes around the 3532nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3529 | 32933 | 16 |
| 3530 | 32939 | 6 |
| 3531 | 32941 | 2 |
| 3532 | 32957 | 16 |
| 3533 | 32969 | 12 |
| 3534 | 32971 | 2 |
| 3535 | 32983 | 12 |
Questions
What is the 3532nd prime number?
32957.
Which prime number is 32957?
32957 is the 3532nd prime number.
What is the sum of the first 3532 primes?
54,713,895.