What is the 7154th prime number?
The 7154th prime number is 72271. The next prime is 72277 (a gap of 6) and the one before is 72269.
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 7154th one is 72271.
- 2
72271 is prime because no prime up to ā72271 ā 268.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7154th prime is close to 7154 Ć ln(7154) ā 63495, and here it is 72271.
- 4
72271 is a twin prime: 72269 and 72271 are both prime.
Primes around the 7154th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7151 | 72251 | 22 |
| 7152 | 72253 | 2 |
| 7153 | 72269 | 16 |
| 7154 | 72271 | 2 |
| 7155 | 72277 | 6 |
| 7156 | 72287 | 10 |
| 7157 | 72307 | 20 |
Questions
What is the 7154th prime number?
72271.
Which prime number is 72271?
72271 is the 7154th prime number.
What is the sum of the first 7154 primes?
244,469,461.