What is the 3248th prime number?
The 3248th prime number is 30029. The next prime is 30047 (a gap of 18) and the one before is 30013.
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 3248th one is 30029.
- 2
30029 is prime because no prime up to ā30029 ā 173.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3248th prime is close to 3248 Ć ln(3248) ā 26263, and here it is 30029.
- 4
30029 has no twin: neither 30027 nor 30031 is prime.
Primes around the 3248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3245 | 29989 | 6 |
| 3246 | 30011 | 22 |
| 3247 | 30013 | 2 |
| 3248 | 30029 | 16 |
| 3249 | 30047 | 18 |
| 3250 | 30059 | 12 |
| 3251 | 30071 | 12 |
Questions
What is the 3248th prime number?
30029.
Which prime number is 30029?
30029 is the 3248th prime number.
What is the sum of the first 3248 primes?
45,765,917.