What is the 7232nd prime number?
The 7232nd prime number is 73141. The next prime is 73181 (a gap of 40) and the one before is 73133.
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 7232nd one is 73141.
- 2
73141 is prime because no prime up to ā73141 ā 270.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7232nd prime is close to 7232 Ć ln(7232) ā 64266, and here it is 73141.
- 4
73141 has no twin: neither 73139 nor 73143 is prime.
Primes around the 7232nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7229 | 73121 | 30 |
| 7230 | 73127 | 6 |
| 7231 | 73133 | 6 |
| 7232 | 73141 | 8 |
| 7233 | 73181 | 40 |
| 7234 | 73189 | 8 |
| 7235 | 73237 | 48 |
Questions
What is the 7232nd prime number?
73141.
Which prime number is 73141?
73141 is the 7232nd prime number.
What is the sum of the first 7232 primes?
250,142,811.