What is the 3249th prime number?
The 3249th prime number is 30047. The next prime is 30059 (a gap of 12) and the one before is 30029.
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 3249th one is 30047.
- 2
30047 is prime because no prime up to ā30047 ā 173.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3249th prime is close to 3249 Ć ln(3249) ā 26272, and here it is 30047.
- 4
30047 has no twin: neither 30045 nor 30049 is prime.
Primes around the 3249th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3246 | 30011 | 22 |
| 3247 | 30013 | 2 |
| 3248 | 30029 | 16 |
| 3249 | 30047 | 18 |
| 3250 | 30059 | 12 |
| 3251 | 30071 | 12 |
| 3252 | 30089 | 18 |
Questions
What is the 3249th prime number?
30047.
Which prime number is 30047?
30047 is the 3249th prime number.
What is the sum of the first 3249 primes?
45,795,964.