What is the 7173rd prime number?
The 7173rd prime number is 72503. The next prime is 72533 (a gap of 30) and the one before is 72497.
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 7173rd one is 72503.
- 2
72503 is prime because no prime up to ā72503 ā 269.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7173rd prime is close to 7173 Ć ln(7173) ā 63682, and here it is 72503.
- 4
72503 has no twin: neither 72501 nor 72505 is prime.
Primes around the 7173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7170 | 72481 | 12 |
| 7171 | 72493 | 12 |
| 7172 | 72497 | 4 |
| 7173 | 72503 | 6 |
| 7174 | 72533 | 30 |
| 7175 | 72547 | 14 |
| 7176 | 72551 | 4 |
Questions
What is the 7173rd prime number?
72503.
Which prime number is 72503?
72503 is the 7173rd prime number.
What is the sum of the first 7173 primes?
245,845,028.