What is the 7250th prime number?
The 7250th prime number is 73417. The next prime is 73421 (a gap of 4) and the one before is 73387.
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 7250th one is 73417.
- 2
73417 is prime because no prime up to ā73417 ā 270.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7250th prime is close to 7250 Ć ln(7250) ā 64443, and here it is 73417.
- 4
73417 has no twin: neither 73415 nor 73419 is prime.
Primes around the 7250th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7247 | 73369 | 6 |
| 7248 | 73379 | 10 |
| 7249 | 73387 | 8 |
| 7250 | 73417 | 30 |
| 7251 | 73421 | 4 |
| 7252 | 73433 | 12 |
| 7253 | 73453 | 20 |
Questions
What is the 7250th prime number?
73417.
Which prime number is 73417?
73417 is the 7250th prime number.
What is the sum of the first 7250 primes?
251,462,385.