What is the 7168th prime number?
The 7168th prime number is 72467. The next prime is 72469 (a gap of 2) and the one before is 72461.
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 7168th one is 72467.
- 2
72467 is prime because no prime up to ā72467 ā 269.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7168th prime is close to 7168 Ć ln(7168) ā 63633, and here it is 72467.
- 4
72467 is a twin prime: 72467 and 72469 are both prime.
Primes around the 7168th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7165 | 72421 | 38 |
| 7166 | 72431 | 10 |
| 7167 | 72461 | 30 |
| 7168 | 72467 | 6 |
| 7169 | 72469 | 2 |
| 7170 | 72481 | 12 |
| 7171 | 72493 | 12 |
Questions
What is the 7168th prime number?
72467.
Which prime number is 72467?
72467 is the 7168th prime number.
What is the sum of the first 7168 primes?
245,482,585.