What is the 7196th prime number?
The 7196th prime number is 72763. The next prime is 72767 (a gap of 4) and the one before is 72739.
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 7196th one is 72763.
- 2
72763 is prime because no prime up to ā72763 ā 269.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7196th prime is close to 7196 Ć ln(7196) ā 63910, and here it is 72763.
- 4
72763 has no twin: neither 72761 nor 72765 is prime.
Primes around the 7196th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7193 | 72727 | 8 |
| 7194 | 72733 | 6 |
| 7195 | 72739 | 6 |
| 7196 | 72763 | 24 |
| 7197 | 72767 | 4 |
| 7198 | 72797 | 30 |
| 7199 | 72817 | 20 |
Questions
What is the 7196th prime number?
72763.
Which prime number is 72763?
72763 is the 7196th prime number.
What is the sum of the first 7196 primes?
247,516,049.