What is the 7210th prime number?
The 7210th prime number is 72923. The next prime is 72931 (a gap of 8) and the one before is 72911.
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, ⦠The 7210th one is 72923.
- 2
72923 is prime because no prime up to ā72923 ā 270.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7210th prime is close to 7210 Ć ln(7210) ā 64048, and here it is 72923.
- 4
72923 has no twin: neither 72921 nor 72925 is prime.
Primes around the 7210th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7207 | 72901 | 8 |
| 7208 | 72907 | 6 |
| 7209 | 72911 | 4 |
| 7210 | 72923 | 12 |
| 7211 | 72931 | 8 |
| 7212 | 72937 | 6 |
| 7213 | 72949 | 12 |
Questions
What is the 7210th prime number?
72923.
Which prime number is 72923?
72923 is the 7210th prime number.
What is the sum of the first 7210 primes?
248,536,159.