What is the 7193rd prime number?
The 7193rd prime number is 72727. The next prime is 72733 (a gap of 6) and the one before is 72719.
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 7193rd one is 72727.
- 2
72727 is prime because no prime up to ā72727 ā 269.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7193rd prime is close to 7193 Ć ln(7193) ā 63880, and here it is 72727.
- 4
72727 has no twin: neither 72725 nor 72729 is prime.
Primes around the 7193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7190 | 72701 | 12 |
| 7191 | 72707 | 6 |
| 7192 | 72719 | 12 |
| 7193 | 72727 | 8 |
| 7194 | 72733 | 6 |
| 7195 | 72739 | 6 |
| 7196 | 72763 | 24 |
Questions
What is the 7193rd prime number?
72727.
Which prime number is 72727?
72727 is the 7193rd prime number.
What is the sum of the first 7193 primes?
247,297,814.