What is the 7149th prime number?
The 7149th prime number is 72227. The next prime is 72229 (a gap of 2) and the one before is 72223.
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 7149th one is 72227.
- 2
72227 is prime because no prime up to ā72227 ā 268.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7149th prime is close to 7149 Ć ln(7149) ā 63445, and here it is 72227.
- 4
72227 is a twin prime: 72227 and 72229 are both prime.
Primes around the 7149th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7146 | 72211 | 38 |
| 7147 | 72221 | 10 |
| 7148 | 72223 | 2 |
| 7149 | 72227 | 4 |
| 7150 | 72229 | 2 |
| 7151 | 72251 | 22 |
| 7152 | 72253 | 2 |
Questions
What is the 7149th prime number?
72227.
Which prime number is 72227?
72227 is the 7149th prime number.
What is the sum of the first 7149 primes?
244,108,188.