What is the 7144th prime number?
The 7144th prime number is 72169. The next prime is 72173 (a gap of 4) and the one before is 72167.
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 7144th one is 72169.
- 2
72169 is prime because no prime up to ā72169 ā 268.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7144th prime is close to 7144 Ć ln(7144) ā 63396, and here it is 72169.
- 4
72169 is a twin prime: 72167 and 72169 are both prime.
Primes around the 7144th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7141 | 72139 | 30 |
| 7142 | 72161 | 22 |
| 7143 | 72167 | 6 |
| 7144 | 72169 | 2 |
| 7145 | 72173 | 4 |
| 7146 | 72211 | 38 |
| 7147 | 72221 | 10 |
Questions
What is the 7144th prime number?
72169.
Which prime number is 72169?
72169 is the 7144th prime number.
What is the sum of the first 7144 primes?
243,747,133.