What is the 7153rd prime number?
The 7153rd prime number is 72269. The next prime is 72271 (a gap of 2) and the one before is 72253.
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 7153rd one is 72269.
- 2
72269 is prime because no prime up to ā72269 ā 268.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7153rd prime is close to 7153 Ć ln(7153) ā 63485, and here it is 72269.
- 4
72269 is a twin prime: 72269 and 72271 are both prime.
Primes around the 7153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7150 | 72229 | 2 |
| 7151 | 72251 | 22 |
| 7152 | 72253 | 2 |
| 7153 | 72269 | 16 |
| 7154 | 72271 | 2 |
| 7155 | 72277 | 6 |
| 7156 | 72287 | 10 |
Questions
What is the 7153rd prime number?
72269.
Which prime number is 72269?
72269 is the 7153rd prime number.
What is the sum of the first 7153 primes?
244,397,190.