What is the 7321st prime number?
The 7321st prime number is 74201. The next prime is 74203 (a gap of 2) and the one before is 74197.
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 7321st one is 74201.
- 2
74201 is prime because no prime up to ā74201 ā 272.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7321st prime is close to 7321 Ć ln(7321) ā 65146, and here it is 74201.
- 4
74201 is a twin prime: 74201 and 74203 are both prime.
Primes around the 7321st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7318 | 74177 | 10 |
| 7319 | 74189 | 12 |
| 7320 | 74197 | 8 |
| 7321 | 74201 | 4 |
| 7322 | 74203 | 2 |
| 7323 | 74209 | 6 |
| 7324 | 74219 | 10 |
Questions
What is the 7321st prime number?
74201.
Which prime number is 74201?
74201 is the 7321st prime number.
What is the sum of the first 7321 primes?
256,703,228.