What is the 7172nd prime number?
The 7172nd prime number is 72497. The next prime is 72503 (a gap of 6) and the one before is 72493.
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 7172nd one is 72497.
- 2
72497 is prime because no prime up to ā72497 ā 269.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7172nd prime is close to 7172 Ć ln(7172) ā 63673, and here it is 72497.
- 4
72497 has no twin: neither 72495 nor 72499 is prime.
Primes around the 7172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7169 | 72469 | 2 |
| 7170 | 72481 | 12 |
| 7171 | 72493 | 12 |
| 7172 | 72497 | 4 |
| 7173 | 72503 | 6 |
| 7174 | 72533 | 30 |
| 7175 | 72547 | 14 |
Questions
What is the 7172nd prime number?
72497.
Which prime number is 72497?
72497 is the 7172nd prime number.
What is the sum of the first 7172 primes?
245,772,525.