What is the 7147th prime number?
The 7147th prime number is 72221. The next prime is 72223 (a gap of 2) and the one before is 72211.
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 7147th one is 72221.
- 2
72221 is prime because no prime up to ā72221 ā 268.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7147th prime is close to 7147 Ć ln(7147) ā 63426, and here it is 72221.
- 4
72221 is a twin prime: 72221 and 72223 are both prime.
Primes around the 7147th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7144 | 72169 | 2 |
| 7145 | 72173 | 4 |
| 7146 | 72211 | 38 |
| 7147 | 72221 | 10 |
| 7148 | 72223 | 2 |
| 7149 | 72227 | 4 |
| 7150 | 72229 | 2 |
Questions
What is the 7147th prime number?
72221.
Which prime number is 72221?
72221 is the 7147th prime number.
What is the sum of the first 7147 primes?
243,963,738.