What is the 3276th prime number?
The 3276th prime number is 30307. The next prime is 30313 (a gap of 6) and the one before is 30293.
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 3276th one is 30307.
- 2
30307 is prime because no prime up to ā30307 ā 174.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3276th prime is close to 3276 Ć ln(3276) ā 26517, and here it is 30307.
- 4
30307 has no twin: neither 30305 nor 30309 is prime.
Primes around the 3276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3273 | 30269 | 10 |
| 3274 | 30271 | 2 |
| 3275 | 30293 | 22 |
| 3276 | 30307 | 14 |
| 3277 | 30313 | 6 |
| 3278 | 30319 | 6 |
| 3279 | 30323 | 4 |
Questions
What is the 3276th prime number?
30307.
Which prime number is 30307?
30307 is the 3276th prime number.
What is the sum of the first 3276 primes?
46,610,649.