What is the 4472nd prime number?
The 4472nd prime number is 42767. The next prime is 42773 (a gap of 6) and the one before is 42751.
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 4472nd one is 42767.
- 2
42767 is prime because no prime up to ā42767 ā 206.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4472nd prime is close to 4472 Ć ln(4472) ā 37590, and here it is 42767.
- 4
42767 has no twin: neither 42765 nor 42769 is prime.
Primes around the 4472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4469 | 42737 | 10 |
| 4470 | 42743 | 6 |
| 4471 | 42751 | 8 |
| 4472 | 42767 | 16 |
| 4473 | 42773 | 6 |
| 4474 | 42787 | 14 |
| 4475 | 42793 | 6 |
Questions
What is the 4472nd prime number?
42767.
Which prime number is 42767?
42767 is the 4472nd prime number.
What is the sum of the first 4472 primes?
90,318,821.