What is the 7219th prime number?
The 7219th prime number is 73009. The next prime is 73013 (a gap of 4) and the one before is 72997.
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 7219th one is 73009.
- 2
73009 is prime because no prime up to ā73009 ā 270.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7219th prime is close to 7219 Ć ln(7219) ā 64137, and here it is 73009.
- 4
73009 has no twin: neither 73007 nor 73011 is prime.
Primes around the 7219th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7216 | 72973 | 14 |
| 7217 | 72977 | 4 |
| 7218 | 72997 | 20 |
| 7219 | 73009 | 12 |
| 7220 | 73013 | 4 |
| 7221 | 73019 | 6 |
| 7222 | 73037 | 18 |
Questions
What is the 7219th prime number?
73009.
Which prime number is 73009?
73009 is the 7219th prime number.
What is the sum of the first 7219 primes?
249,192,844.