What is the 7217th prime number?
The 7217th prime number is 72977. The next prime is 72997 (a gap of 20) and the one before is 72973.
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 7217th one is 72977.
- 2
72977 is prime because no prime up to ā72977 ā 270.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7217th prime is close to 7217 Ć ln(7217) ā 64117, and here it is 72977.
- 4
72977 has no twin: neither 72975 nor 72979 is prime.
Primes around the 7217th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7214 | 72953 | 4 |
| 7215 | 72959 | 6 |
| 7216 | 72973 | 14 |
| 7217 | 72977 | 4 |
| 7218 | 72997 | 20 |
| 7219 | 73009 | 12 |
| 7220 | 73013 | 4 |
Questions
What is the 7217th prime number?
72977.
Which prime number is 72977?
72977 is the 7217th prime number.
What is the sum of the first 7217 primes?
249,046,838.