What is the 3246th prime number?
The 3246th prime number is 30011. The next prime is 30013 (a gap of 2) and the one before is 29989.
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 3246th one is 30011.
- 2
30011 is prime because no prime up to ā30011 ā 173.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3246th prime is close to 3246 Ć ln(3246) ā 26244, and here it is 30011.
- 4
30011 is a twin prime: 30011 and 30013 are both prime.
Primes around the 3246th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3243 | 29959 | 12 |
| 3244 | 29983 | 24 |
| 3245 | 29989 | 6 |
| 3246 | 30011 | 22 |
| 3247 | 30013 | 2 |
| 3248 | 30029 | 16 |
| 3249 | 30047 | 18 |
Questions
What is the 3246th prime number?
30011.
Which prime number is 30011?
30011 is the 3246th prime number.
What is the sum of the first 3246 primes?
45,705,875.