What is the 7145th prime number?
The 7145th prime number is 72173. The next prime is 72211 (a gap of 38) and the one before is 72169.
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 7145th one is 72173.
- 2
72173 is prime because no prime up to ā72173 ā 268.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7145th prime is close to 7145 Ć ln(7145) ā 63406, and here it is 72173.
- 4
72173 has no twin: neither 72171 nor 72175 is prime.
Primes around the 7145th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7142 | 72161 | 22 |
| 7143 | 72167 | 6 |
| 7144 | 72169 | 2 |
| 7145 | 72173 | 4 |
| 7146 | 72211 | 38 |
| 7147 | 72221 | 10 |
| 7148 | 72223 | 2 |
Questions
What is the 7145th prime number?
72173.
Which prime number is 72173?
72173 is the 7145th prime number.
What is the sum of the first 7145 primes?
243,819,306.