What is the 7160th prime number?
The 7160th prime number is 72341. The next prime is 72353 (a gap of 12) and the one before is 72337.
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 7160th one is 72341.
- 2
72341 is prime because no prime up to ā72341 ā 268.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7160th prime is close to 7160 Ć ln(7160) ā 63554, and here it is 72341.
- 4
72341 has no twin: neither 72339 nor 72343 is prime.
Primes around the 7160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7157 | 72307 | 20 |
| 7158 | 72313 | 6 |
| 7159 | 72337 | 24 |
| 7160 | 72341 | 4 |
| 7161 | 72353 | 12 |
| 7162 | 72367 | 14 |
| 7163 | 72379 | 12 |
Questions
What is the 7160th prime number?
72341.
Which prime number is 72341?
72341 is the 7160th prime number.
What is the sum of the first 7160 primes?
244,903,323.