What is the 7221st prime number?
The 7221st prime number is 73019. The next prime is 73037 (a gap of 18) and the one before is 73013.
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 7221st one is 73019.
- 2
73019 is prime because no prime up to ā73019 ā 270.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7221st prime is close to 7221 Ć ln(7221) ā 64157, and here it is 73019.
- 4
73019 has no twin: neither 73017 nor 73021 is prime.
Primes around the 7221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7218 | 72997 | 20 |
| 7219 | 73009 | 12 |
| 7220 | 73013 | 4 |
| 7221 | 73019 | 6 |
| 7222 | 73037 | 18 |
| 7223 | 73039 | 2 |
| 7224 | 73043 | 4 |
Questions
What is the 7221st prime number?
73019.
Which prime number is 73019?
73019 is the 7221st prime number.
What is the sum of the first 7221 primes?
249,338,876.