What is the 7152nd prime number?
The 7152nd prime number is 72253. The next prime is 72269 (a gap of 16) and the one before is 72251.
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 7152nd one is 72253.
- 2
72253 is prime because no prime up to ā72253 ā 268.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7152nd prime is close to 7152 Ć ln(7152) ā 63475, and here it is 72253.
- 4
72253 is a twin prime: 72251 and 72253 are both prime.
Primes around the 7152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7149 | 72227 | 4 |
| 7150 | 72229 | 2 |
| 7151 | 72251 | 22 |
| 7152 | 72253 | 2 |
| 7153 | 72269 | 16 |
| 7154 | 72271 | 2 |
| 7155 | 72277 | 6 |
Questions
What is the 7152nd prime number?
72253.
Which prime number is 72253?
72253 is the 7152nd prime number.
What is the sum of the first 7152 primes?
244,324,921.