What is the 7216th prime number?
The 7216th prime number is 72973. The next prime is 72977 (a gap of 4) and the one before is 72959.
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 7216th one is 72973.
- 2
72973 is prime because no prime up to ā72973 ā 270.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7216th prime is close to 7216 Ć ln(7216) ā 64107, and here it is 72973.
- 4
72973 has no twin: neither 72971 nor 72975 is prime.
Primes around the 7216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7213 | 72949 | 12 |
| 7214 | 72953 | 4 |
| 7215 | 72959 | 6 |
| 7216 | 72973 | 14 |
| 7217 | 72977 | 4 |
| 7218 | 72997 | 20 |
| 7219 | 73009 | 12 |
Questions
What is the 7216th prime number?
72973.
Which prime number is 72973?
72973 is the 7216th prime number.
What is the sum of the first 7216 primes?
248,973,861.