What is the 3296th prime number?
The 3296th prime number is 30529. The next prime is 30539 (a gap of 10) and the one before is 30517.
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 3296th one is 30529.
- 2
30529 is prime because no prime up to ā30529 ā 174.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3296th prime is close to 3296 Ć ln(3296) ā 26699, and here it is 30529.
- 4
30529 has no twin: neither 30527 nor 30531 is prime.
Primes around the 3296th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3293 | 30497 | 4 |
| 3294 | 30509 | 12 |
| 3295 | 30517 | 8 |
| 3296 | 30529 | 12 |
| 3297 | 30539 | 10 |
| 3298 | 30553 | 14 |
| 3299 | 30557 | 4 |
Questions
What is the 3296th prime number?
30529.
Which prime number is 30529?
30529 is the 3296th prime number.
What is the sum of the first 3296 primes?
47,219,121.