What is the 7273rd prime number?
The 7273rd prime number is 73651. The next prime is 73673 (a gap of 22) and the one before is 73643.
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 7273rd one is 73651.
- 2
73651 is prime because no prime up to ā73651 ā 271.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7273rd prime is close to 7273 Ć ln(7273) ā 64671, and here it is 73651.
- 4
73651 has no twin: neither 73649 nor 73653 is prime.
Primes around the 7273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7270 | 73613 | 4 |
| 7271 | 73637 | 24 |
| 7272 | 73643 | 6 |
| 7273 | 73651 | 8 |
| 7274 | 73673 | 22 |
| 7275 | 73679 | 6 |
| 7276 | 73681 | 2 |
Questions
What is the 7273rd prime number?
73651.
Which prime number is 73651?
73651 is the 7273rd prime number.
What is the sum of the first 7273 primes?
253,153,912.