What is the 7252nd prime number?
The 7252nd prime number is 73433. The next prime is 73453 (a gap of 20) and the one before is 73421.
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 7252nd one is 73433.
- 2
73433 is prime because no prime up to ā73433 ā 270.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7252nd prime is close to 7252 Ć ln(7252) ā 64463, and here it is 73433.
- 4
73433 has no twin: neither 73431 nor 73435 is prime.
Primes around the 7252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7249 | 73387 | 8 |
| 7250 | 73417 | 30 |
| 7251 | 73421 | 4 |
| 7252 | 73433 | 12 |
| 7253 | 73453 | 20 |
| 7254 | 73459 | 6 |
| 7255 | 73471 | 12 |
Questions
What is the 7252nd prime number?
73433.
Which prime number is 73433?
73433 is the 7252nd prime number.
What is the sum of the first 7252 primes?
251,609,239.