What is the 7280th prime number?
The 7280th prime number is 73721. The next prime is 73727 (a gap of 6) and the one before is 73709.
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 7280th one is 73721.
- 2
73721 is prime because no prime up to ā73721 ā 271.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7280th prime is close to 7280 Ć ln(7280) ā 64740, and here it is 73721.
- 4
73721 has no twin: neither 73719 nor 73723 is prime.
Primes around the 7280th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7277 | 73693 | 12 |
| 7278 | 73699 | 6 |
| 7279 | 73709 | 10 |
| 7280 | 73721 | 12 |
| 7281 | 73727 | 6 |
| 7282 | 73751 | 24 |
| 7283 | 73757 | 6 |
Questions
What is the 7280th prime number?
73721.
Which prime number is 73721?
73721 is the 7280th prime number.
What is the sum of the first 7280 primes?
253,669,767.