What is the 7165th prime number?
The 7165th prime number is 72421. The next prime is 72431 (a gap of 10) and the one before is 72383.
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 7165th one is 72421.
- 2
72421 is prime because no prime up to ā72421 ā 269.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7165th prime is close to 7165 Ć ln(7165) ā 63603, and here it is 72421.
- 4
72421 has no twin: neither 72419 nor 72423 is prime.
Primes around the 7165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7162 | 72367 | 14 |
| 7163 | 72379 | 12 |
| 7164 | 72383 | 4 |
| 7165 | 72421 | 38 |
| 7166 | 72431 | 10 |
| 7167 | 72461 | 30 |
| 7168 | 72467 | 6 |
Questions
What is the 7165th prime number?
72421.
Which prime number is 72421?
72421 is the 7165th prime number.
What is the sum of the first 7165 primes?
245,265,226.