What is the 7472nd prime number?
The 7472nd prime number is 75853. The next prime is 75869 (a gap of 16) and the one before is 75833.
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 7472nd one is 75853.
- 2
75853 is prime because no prime up to ā75853 ā 275.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7472nd prime is close to 7472 Ć ln(7472) ā 66642, and here it is 75853.
- 4
75853 has no twin: neither 75851 nor 75855 is prime.
Primes around the 7472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7469 | 75797 | 4 |
| 7470 | 75821 | 24 |
| 7471 | 75833 | 12 |
| 7472 | 75853 | 20 |
| 7473 | 75869 | 16 |
| 7474 | 75883 | 14 |
| 7475 | 75913 | 30 |
Questions
What is the 7472nd prime number?
75853.
Which prime number is 75853?
75853 is the 7472nd prime number.
What is the sum of the first 7472 primes?
268,033,681.