What is the 7255th prime number?
The 7255th prime number is 73471. The next prime is 73477 (a gap of 6) and the one before is 73459.
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 7255th one is 73471.
- 2
73471 is prime because no prime up to ā73471 ā 271.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7255th prime is close to 7255 Ć ln(7255) ā 64493, and here it is 73471.
- 4
73471 has no twin: neither 73469 nor 73473 is prime.
Primes around the 7255th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7252 | 73433 | 12 |
| 7253 | 73453 | 20 |
| 7254 | 73459 | 6 |
| 7255 | 73471 | 12 |
| 7256 | 73477 | 6 |
| 7257 | 73483 | 6 |
| 7258 | 73517 | 34 |
Questions
What is the 7255th prime number?
73471.
Which prime number is 73471?
73471 is the 7255th prime number.
What is the sum of the first 7255 primes?
251,829,622.