What is the 7253rd prime number?
The 7253rd prime number is 73453. The next prime is 73459 (a gap of 6) and the one before is 73433.
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 7253rd one is 73453.
- 2
73453 is prime because no prime up to ā73453 ā 271.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7253rd prime is close to 7253 Ć ln(7253) ā 64473, and here it is 73453.
- 4
73453 has no twin: neither 73451 nor 73455 is prime.
Primes around the 7253rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7250 | 73417 | 30 |
| 7251 | 73421 | 4 |
| 7252 | 73433 | 12 |
| 7253 | 73453 | 20 |
| 7254 | 73459 | 6 |
| 7255 | 73471 | 12 |
| 7256 | 73477 | 6 |
Questions
What is the 7253rd prime number?
73453.
Which prime number is 73453?
73453 is the 7253rd prime number.
What is the sum of the first 7253 primes?
251,682,692.