What is the 3295th prime number?
The 3295th prime number is 30517. The next prime is 30529 (a gap of 12) and the one before is 30509.
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 3295th one is 30517.
- 2
30517 is prime because no prime up to ā30517 ā 174.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3295th prime is close to 3295 Ć ln(3295) ā 26690, and here it is 30517.
- 4
30517 has no twin: neither 30515 nor 30519 is prime.
Primes around the 3295th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3292 | 30493 | 2 |
| 3293 | 30497 | 4 |
| 3294 | 30509 | 12 |
| 3295 | 30517 | 8 |
| 3296 | 30529 | 12 |
| 3297 | 30539 | 10 |
| 3298 | 30553 | 14 |
Questions
What is the 3295th prime number?
30517.
Which prime number is 30517?
30517 is the 3295th prime number.
What is the sum of the first 3295 primes?
47,188,592.