What is the 7212th prime number?
The 7212th prime number is 72937. The next prime is 72949 (a gap of 12) and the one before is 72931.
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 7212th one is 72937.
- 2
72937 is prime because no prime up to ā72937 ā 270.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7212th prime is close to 7212 Ć ln(7212) ā 64068, and here it is 72937.
- 4
72937 has no twin: neither 72935 nor 72939 is prime.
Primes around the 7212th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7209 | 72911 | 4 |
| 7210 | 72923 | 12 |
| 7211 | 72931 | 8 |
| 7212 | 72937 | 6 |
| 7213 | 72949 | 12 |
| 7214 | 72953 | 4 |
| 7215 | 72959 | 6 |
Questions
What is the 7212th prime number?
72937.
Which prime number is 72937?
72937 is the 7212th prime number.
What is the sum of the first 7212 primes?
248,682,027.