What is the 7248th prime number?
The 7248th prime number is 73379. The next prime is 73387 (a gap of 8) and the one before is 73369.
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 7248th one is 73379.
- 2
73379 is prime because no prime up to ā73379 ā 270.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7248th prime is close to 7248 Ć ln(7248) ā 64424, and here it is 73379.
- 4
73379 has no twin: neither 73377 nor 73381 is prime.
Primes around the 7248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7245 | 73361 | 10 |
| 7246 | 73363 | 2 |
| 7247 | 73369 | 6 |
| 7248 | 73379 | 10 |
| 7249 | 73387 | 8 |
| 7250 | 73417 | 30 |
| 7251 | 73421 | 4 |
Questions
What is the 7248th prime number?
73379.
Which prime number is 73379?
73379 is the 7248th prime number.
What is the sum of the first 7248 primes?
251,315,581.