What is the 7222nd prime number?
The 7222nd prime number is 73037. The next prime is 73039 (a gap of 2) and the one before is 73019.
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 7222nd one is 73037.
- 2
73037 is prime because no prime up to ā73037 ā 270.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7222nd prime is close to 7222 Ć ln(7222) ā 64167, and here it is 73037.
- 4
73037 is a twin prime: 73037 and 73039 are both prime.
Primes around the 7222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7219 | 73009 | 12 |
| 7220 | 73013 | 4 |
| 7221 | 73019 | 6 |
| 7222 | 73037 | 18 |
| 7223 | 73039 | 2 |
| 7224 | 73043 | 4 |
| 7225 | 73061 | 18 |
Questions
What is the 7222nd prime number?
73037.
Which prime number is 73037?
73037 is the 7222nd prime number.
What is the sum of the first 7222 primes?
249,411,913.