What is the 7218th prime number?
The 7218th prime number is 72997. The next prime is 73009 (a gap of 12) and the one before is 72977.
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 7218th one is 72997.
- 2
72997 is prime because no prime up to ā72997 ā 270.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7218th prime is close to 7218 Ć ln(7218) ā 64127, and here it is 72997.
- 4
72997 has no twin: neither 72995 nor 72999 is prime.
Primes around the 7218th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7215 | 72959 | 6 |
| 7216 | 72973 | 14 |
| 7217 | 72977 | 4 |
| 7218 | 72997 | 20 |
| 7219 | 73009 | 12 |
| 7220 | 73013 | 4 |
| 7221 | 73019 | 6 |
Questions
What is the 7218th prime number?
72997.
Which prime number is 72997?
72997 is the 7218th prime number.
What is the sum of the first 7218 primes?
249,119,835.