What is the 7150th prime number?
The 7150th prime number is 72229. The next prime is 72251 (a gap of 22) and the one before is 72227.
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 7150th one is 72229.
- 2
72229 is prime because no prime up to ā72229 ā 268.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7150th prime is close to 7150 Ć ln(7150) ā 63455, and here it is 72229.
- 4
72229 is a twin prime: 72227 and 72229 are both prime.
Primes around the 7150th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7147 | 72221 | 10 |
| 7148 | 72223 | 2 |
| 7149 | 72227 | 4 |
| 7150 | 72229 | 2 |
| 7151 | 72251 | 22 |
| 7152 | 72253 | 2 |
| 7153 | 72269 | 16 |
Questions
What is the 7150th prime number?
72229.
Which prime number is 72229?
72229 is the 7150th prime number.
What is the sum of the first 7150 primes?
244,180,417.