What is the 7272nd prime number?
The 7272nd prime number is 73643. The next prime is 73651 (a gap of 8) and the one before is 73637.
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 7272nd one is 73643.
- 2
73643 is prime because no prime up to ā73643 ā 271.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7272nd prime is close to 7272 Ć ln(7272) ā 64661, and here it is 73643.
- 4
73643 has no twin: neither 73641 nor 73645 is prime.
Primes around the 7272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7269 | 73609 | 2 |
| 7270 | 73613 | 4 |
| 7271 | 73637 | 24 |
| 7272 | 73643 | 6 |
| 7273 | 73651 | 8 |
| 7274 | 73673 | 22 |
| 7275 | 73679 | 6 |
Questions
What is the 7272nd prime number?
73643.
Which prime number is 73643?
73643 is the 7272nd prime number.
What is the sum of the first 7272 primes?
253,080,261.