What is the 7146th prime number?
The 7146th prime number is 72211. The next prime is 72221 (a gap of 10) and the one before is 72173.
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 7146th one is 72211.
- 2
72211 is prime because no prime up to ā72211 ā 268.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7146th prime is close to 7146 Ć ln(7146) ā 63416, and here it is 72211.
- 4
72211 has no twin: neither 72209 nor 72213 is prime.
Primes around the 7146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7143 | 72167 | 6 |
| 7144 | 72169 | 2 |
| 7145 | 72173 | 4 |
| 7146 | 72211 | 38 |
| 7147 | 72221 | 10 |
| 7148 | 72223 | 2 |
| 7149 | 72227 | 4 |
Questions
What is the 7146th prime number?
72211.
Which prime number is 72211?
72211 is the 7146th prime number.
What is the sum of the first 7146 primes?
243,891,517.