What is the 7247th prime number?
The 7247th prime number is 73369. The next prime is 73379 (a gap of 10) and the one before is 73363.
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 7247th one is 73369.
- 2
73369 is prime because no prime up to ā73369 ā 270.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7247th prime is close to 7247 Ć ln(7247) ā 64414, and here it is 73369.
- 4
73369 has no twin: neither 73367 nor 73371 is prime.
Primes around the 7247th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7244 | 73351 | 20 |
| 7245 | 73361 | 10 |
| 7246 | 73363 | 2 |
| 7247 | 73369 | 6 |
| 7248 | 73379 | 10 |
| 7249 | 73387 | 8 |
| 7250 | 73417 | 30 |
Questions
What is the 7247th prime number?
73369.
Which prime number is 73369?
73369 is the 7247th prime number.
What is the sum of the first 7247 primes?
251,242,202.