What is the 7192nd prime number?
The 7192nd prime number is 72719. The next prime is 72727 (a gap of 8) and the one before is 72707.
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 7192nd one is 72719.
- 2
72719 is prime because no prime up to ā72719 ā 269.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7192nd prime is close to 7192 Ć ln(7192) ā 63870, and here it is 72719.
- 4
72719 has no twin: neither 72717 nor 72721 is prime.
Primes around the 7192nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7189 | 72689 | 10 |
| 7190 | 72701 | 12 |
| 7191 | 72707 | 6 |
| 7192 | 72719 | 12 |
| 7193 | 72727 | 8 |
| 7194 | 72733 | 6 |
| 7195 | 72739 | 6 |
Questions
What is the 7192nd prime number?
72719.
Which prime number is 72719?
72719 is the 7192nd prime number.
What is the sum of the first 7192 primes?
247,225,087.