What is the 7132nd prime number?
The 7132nd prime number is 72047. The next prime is 72053 (a gap of 6) and the one before is 72043.
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 7132nd one is 72047.
- 2
72047 is prime because no prime up to ā72047 ā 268.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7132nd prime is close to 7132 Ć ln(7132) ā 63278, and here it is 72047.
- 4
72047 has no twin: neither 72045 nor 72049 is prime.
Primes around the 7132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7129 | 72019 | 20 |
| 7130 | 72031 | 12 |
| 7131 | 72043 | 12 |
| 7132 | 72047 | 4 |
| 7133 | 72053 | 6 |
| 7134 | 72073 | 20 |
| 7135 | 72077 | 4 |
Questions
What is the 7132nd prime number?
72047.
Which prime number is 72047?
72047 is the 7132nd prime number.
What is the sum of the first 7132 primes?
242,881,801.