What is the 3302nd prime number?
The 3302nd prime number is 30593. The next prime is 30631 (a gap of 38) and the one before is 30577.
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 3302nd one is 30593.
- 2
30593 is prime because no prime up to ā30593 ā 174.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3302nd prime is close to 3302 Ć ln(3302) ā 26754, and here it is 30593.
- 4
30593 has no twin: neither 30591 nor 30595 is prime.
Primes around the 3302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3299 | 30557 | 4 |
| 3300 | 30559 | 2 |
| 3301 | 30577 | 18 |
| 3302 | 30593 | 16 |
| 3303 | 30631 | 38 |
| 3304 | 30637 | 6 |
| 3305 | 30643 | 6 |
Questions
What is the 3302nd prime number?
30593.
Which prime number is 30593?
30593 is the 3302nd prime number.
What is the sum of the first 3302 primes?
47,402,499.