What is the 7171st prime number?
The 7171st prime number is 72493. The next prime is 72497 (a gap of 4) and the one before is 72481.
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 7171st one is 72493.
- 2
72493 is prime because no prime up to ā72493 ā 269.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7171st prime is close to 7171 Ć ln(7171) ā 63663, and here it is 72493.
- 4
72493 has no twin: neither 72491 nor 72495 is prime.
Primes around the 7171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7168 | 72467 | 6 |
| 7169 | 72469 | 2 |
| 7170 | 72481 | 12 |
| 7171 | 72493 | 12 |
| 7172 | 72497 | 4 |
| 7173 | 72503 | 6 |
| 7174 | 72533 | 30 |
Questions
What is the 7171st prime number?
72493.
Which prime number is 72493?
72493 is the 7171st prime number.
What is the sum of the first 7171 primes?
245,700,028.