What is the 7151st prime number?
The 7151st prime number is 72251. The next prime is 72253 (a gap of 2) and the one before is 72229.
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 7151st one is 72251.
- 2
72251 is prime because no prime up to ā72251 ā 268.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7151st prime is close to 7151 Ć ln(7151) ā 63465, and here it is 72251.
- 4
72251 is a twin prime: 72251 and 72253 are both prime.
Primes around the 7151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7148 | 72223 | 2 |
| 7149 | 72227 | 4 |
| 7150 | 72229 | 2 |
| 7151 | 72251 | 22 |
| 7152 | 72253 | 2 |
| 7153 | 72269 | 16 |
| 7154 | 72271 | 2 |
Questions
What is the 7151st prime number?
72251.
Which prime number is 72251?
72251 is the 7151st prime number.
What is the sum of the first 7151 primes?
244,252,668.