What is the 3277th prime number?
The 3277th prime number is 30313. The next prime is 30319 (a gap of 6) and the one before is 30307.
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 3277th one is 30313.
- 2
30313 is prime because no prime up to ā30313 ā 174.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3277th prime is close to 3277 Ć ln(3277) ā 26526, and here it is 30313.
- 4
30313 has no twin: neither 30311 nor 30315 is prime.
Primes around the 3277th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3274 | 30271 | 2 |
| 3275 | 30293 | 22 |
| 3276 | 30307 | 14 |
| 3277 | 30313 | 6 |
| 3278 | 30319 | 6 |
| 3279 | 30323 | 4 |
| 3280 | 30341 | 18 |
Questions
What is the 3277th prime number?
30313.
Which prime number is 30313?
30313 is the 3277th prime number.
What is the sum of the first 3277 primes?
46,640,962.