What is the 7163rd prime number?
The 7163rd prime number is 72379. The next prime is 72383 (a gap of 4) and the one before is 72367.
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 7163rd one is 72379.
- 2
72379 is prime because no prime up to ā72379 ā 269.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7163rd prime is close to 7163 Ć ln(7163) ā 63584, and here it is 72379.
- 4
72379 has no twin: neither 72377 nor 72381 is prime.
Primes around the 7163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7160 | 72341 | 4 |
| 7161 | 72353 | 12 |
| 7162 | 72367 | 14 |
| 7163 | 72379 | 12 |
| 7164 | 72383 | 4 |
| 7165 | 72421 | 38 |
| 7166 | 72431 | 10 |
Questions
What is the 7163rd prime number?
72379.
Which prime number is 72379?
72379 is the 7163rd prime number.
What is the sum of the first 7163 primes?
245,120,422.