What is the 7228th prime number?
The 7228th prime number is 73091. The next prime is 73121 (a gap of 30) and the one before is 73079.
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 7228th one is 73091.
- 2
73091 is prime because no prime up to ā73091 ā 270.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7228th prime is close to 7228 Ć ln(7228) ā 64226, and here it is 73091.
- 4
73091 has no twin: neither 73089 nor 73093 is prime.
Primes around the 7228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7225 | 73061 | 18 |
| 7226 | 73063 | 2 |
| 7227 | 73079 | 16 |
| 7228 | 73091 | 12 |
| 7229 | 73121 | 30 |
| 7230 | 73127 | 6 |
| 7231 | 73133 | 6 |
Questions
What is the 7228th prime number?
73091.
Which prime number is 73091?
73091 is the 7228th prime number.
What is the sum of the first 7228 primes?
249,850,289.