What is the 7281st prime number?
The 7281st prime number is 73727. The next prime is 73751 (a gap of 24) and the one before is 73721.
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 7281st one is 73727.
- 2
73727 is prime because no prime up to ā73727 ā 271.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7281st prime is close to 7281 Ć ln(7281) ā 64750, and here it is 73727.
- 4
73727 has no twin: neither 73725 nor 73729 is prime.
Primes around the 7281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7278 | 73699 | 6 |
| 7279 | 73709 | 10 |
| 7280 | 73721 | 12 |
| 7281 | 73727 | 6 |
| 7282 | 73751 | 24 |
| 7283 | 73757 | 6 |
| 7284 | 73771 | 14 |
Questions
What is the 7281st prime number?
73727.
Which prime number is 73727?
73727 is the 7281st prime number.
What is the sum of the first 7281 primes?
253,743,494.