What is the 7220th prime number?
The 7220th prime number is 73013. The next prime is 73019 (a gap of 6) and the one before is 73009.
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 7220th one is 73013.
- 2
73013 is prime because no prime up to ā73013 ā 270.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7220th prime is close to 7220 Ć ln(7220) ā 64147, and here it is 73013.
- 4
73013 has no twin: neither 73011 nor 73015 is prime.
Primes around the 7220th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7217 | 72977 | 4 |
| 7218 | 72997 | 20 |
| 7219 | 73009 | 12 |
| 7220 | 73013 | 4 |
| 7221 | 73019 | 6 |
| 7222 | 73037 | 18 |
| 7223 | 73039 | 2 |
Questions
What is the 7220th prime number?
73013.
Which prime number is 73013?
73013 is the 7220th prime number.
What is the sum of the first 7220 primes?
249,265,857.