What is the 3253rd prime number?
The 3253rd prime number is 30091. The next prime is 30097 (a gap of 6) and the one before is 30089.
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 3253rd one is 30091.
- 2
30091 is prime because no prime up to ā30091 ā 173.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3253rd prime is close to 3253 Ć ln(3253) ā 26308, and here it is 30091.
- 4
30091 is a twin prime: 30089 and 30091 are both prime.
Primes around the 3253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3250 | 30059 | 12 |
| 3251 | 30071 | 12 |
| 3252 | 30089 | 18 |
| 3253 | 30091 | 2 |
| 3254 | 30097 | 6 |
| 3255 | 30103 | 6 |
| 3256 | 30109 | 6 |
Questions
What is the 3253rd prime number?
30091.
Which prime number is 30091?
30091 is the 3253rd prime number.
What is the sum of the first 3253 primes?
45,916,274.