What is the 7170th prime number?
The 7170th prime number is 72481. The next prime is 72493 (a gap of 12) and the one before is 72469.
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 7170th one is 72481.
- 2
72481 is prime because no prime up to ā72481 ā 269.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7170th prime is close to 7170 Ć ln(7170) ā 63653, and here it is 72481.
- 4
72481 has no twin: neither 72479 nor 72483 is prime.
Primes around the 7170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7167 | 72461 | 30 |
| 7168 | 72467 | 6 |
| 7169 | 72469 | 2 |
| 7170 | 72481 | 12 |
| 7171 | 72493 | 12 |
| 7172 | 72497 | 4 |
| 7173 | 72503 | 6 |
Questions
What is the 7170th prime number?
72481.
Which prime number is 72481?
72481 is the 7170th prime number.
What is the sum of the first 7170 primes?
245,627,535.