What is the 3280th prime number?
The 3280th prime number is 30341. The next prime is 30347 (a gap of 6) and the one before is 30323.
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 3280th one is 30341.
- 2
30341 is prime because no prime up to ā30341 ā 174.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3280th prime is close to 3280 Ć ln(3280) ā 26554, and here it is 30341.
- 4
30341 has no twin: neither 30339 nor 30343 is prime.
Primes around the 3280th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3277 | 30313 | 6 |
| 3278 | 30319 | 6 |
| 3279 | 30323 | 4 |
| 3280 | 30341 | 18 |
| 3281 | 30347 | 6 |
| 3282 | 30367 | 20 |
| 3283 | 30389 | 22 |
Questions
What is the 3280th prime number?
30341.
Which prime number is 30341?
30341 is the 3280th prime number.
What is the sum of the first 3280 primes?
46,731,945.