What is the 7161st prime number?
The 7161st prime number is 72353. The next prime is 72367 (a gap of 14) and the one before is 72341.
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 7161st one is 72353.
- 2
72353 is prime because no prime up to ā72353 ā 268.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7161st prime is close to 7161 Ć ln(7161) ā 63564, and here it is 72353.
- 4
72353 has no twin: neither 72351 nor 72355 is prime.
Primes around the 7161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7158 | 72313 | 6 |
| 7159 | 72337 | 24 |
| 7160 | 72341 | 4 |
| 7161 | 72353 | 12 |
| 7162 | 72367 | 14 |
| 7163 | 72379 | 12 |
| 7164 | 72383 | 4 |
Questions
What is the 7161st prime number?
72353.
Which prime number is 72353?
72353 is the 7161st prime number.
What is the sum of the first 7161 primes?
244,975,676.