What is the 3247th prime number?
The 3247th prime number is 30013. The next prime is 30029 (a gap of 16) and the one before is 30011.
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 3247th one is 30013.
- 2
30013 is prime because no prime up to ā30013 ā 173.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3247th prime is close to 3247 Ć ln(3247) ā 26254, and here it is 30013.
- 4
30013 is a twin prime: 30011 and 30013 are both prime.
Primes around the 3247th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3244 | 29983 | 24 |
| 3245 | 29989 | 6 |
| 3246 | 30011 | 22 |
| 3247 | 30013 | 2 |
| 3248 | 30029 | 16 |
| 3249 | 30047 | 18 |
| 3250 | 30059 | 12 |
Questions
What is the 3247th prime number?
30013.
Which prime number is 30013?
30013 is the 3247th prime number.
What is the sum of the first 3247 primes?
45,735,888.