What is the 3531st prime number?
The 3531st prime number is 32941. The next prime is 32957 (a gap of 16) and the one before is 32939.
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 3531st one is 32941.
- 2
32941 is prime because no prime up to ā32941 ā 181.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3531st prime is close to 3531 Ć ln(3531) ā 28846, and here it is 32941.
- 4
32941 is a twin prime: 32939 and 32941 are both prime.
Primes around the 3531st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3528 | 32917 | 6 |
| 3529 | 32933 | 16 |
| 3530 | 32939 | 6 |
| 3531 | 32941 | 2 |
| 3532 | 32957 | 16 |
| 3533 | 32969 | 12 |
| 3534 | 32971 | 2 |
Questions
What is the 3531st prime number?
32941.
Which prime number is 32941?
32941 is the 3531st prime number.
What is the sum of the first 3531 primes?
54,680,938.