What is the 7195th prime number?
The 7195th prime number is 72739. The next prime is 72763 (a gap of 24) and the one before is 72733.
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 7195th one is 72739.
- 2
72739 is prime because no prime up to ā72739 ā 269.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7195th prime is close to 7195 Ć ln(7195) ā 63900, and here it is 72739.
- 4
72739 has no twin: neither 72737 nor 72741 is prime.
Primes around the 7195th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7192 | 72719 | 12 |
| 7193 | 72727 | 8 |
| 7194 | 72733 | 6 |
| 7195 | 72739 | 6 |
| 7196 | 72763 | 24 |
| 7197 | 72767 | 4 |
| 7198 | 72797 | 30 |
Questions
What is the 7195th prime number?
72739.
Which prime number is 72739?
72739 is the 7195th prime number.
What is the sum of the first 7195 primes?
247,443,286.