What is the 7164th prime number?
The 7164th prime number is 72383. The next prime is 72421 (a gap of 38) and the one before is 72379.
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 7164th one is 72383.
- 2
72383 is prime because no prime up to ā72383 ā 269.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7164th prime is close to 7164 Ć ln(7164) ā 63594, and here it is 72383.
- 4
72383 has no twin: neither 72381 nor 72385 is prime.
Primes around the 7164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7161 | 72353 | 12 |
| 7162 | 72367 | 14 |
| 7163 | 72379 | 12 |
| 7164 | 72383 | 4 |
| 7165 | 72421 | 38 |
| 7166 | 72431 | 10 |
| 7167 | 72461 | 30 |
Questions
What is the 7164th prime number?
72383.
Which prime number is 72383?
72383 is the 7164th prime number.
What is the sum of the first 7164 primes?
245,192,805.