What is the 7162nd prime number?
The 7162nd prime number is 72367. The next prime is 72379 (a gap of 12) and the one before is 72353.
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 7162nd one is 72367.
- 2
72367 is prime because no prime up to ā72367 ā 269.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7162nd prime is close to 7162 Ć ln(7162) ā 63574, and here it is 72367.
- 4
72367 has no twin: neither 72365 nor 72369 is prime.
Primes around the 7162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7159 | 72337 | 24 |
| 7160 | 72341 | 4 |
| 7161 | 72353 | 12 |
| 7162 | 72367 | 14 |
| 7163 | 72379 | 12 |
| 7164 | 72383 | 4 |
| 7165 | 72421 | 38 |
Questions
What is the 7162nd prime number?
72367.
Which prime number is 72367?
72367 is the 7162nd prime number.
What is the sum of the first 7162 primes?
245,048,043.