What is the 3298th prime number?
The 3298th prime number is 30553. The next prime is 30557 (a gap of 4) and the one before is 30539.
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 3298th one is 30553.
- 2
30553 is prime because no prime up to ā30553 ā 174.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3298th prime is close to 3298 Ć ln(3298) ā 26717, and here it is 30553.
- 4
30553 has no twin: neither 30551 nor 30555 is prime.
Primes around the 3298th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3295 | 30517 | 8 |
| 3296 | 30529 | 12 |
| 3297 | 30539 | 10 |
| 3298 | 30553 | 14 |
| 3299 | 30557 | 4 |
| 3300 | 30559 | 2 |
| 3301 | 30577 | 18 |
Questions
What is the 3298th prime number?
30553.
Which prime number is 30553?
30553 is the 3298th prime number.
What is the sum of the first 3298 primes?
47,280,213.